A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters​

Answers

Answer 1

Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³


Related Questions

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

A, B and C but I’m contemplating D too but it’s def not E or F

The right options are:

Option A

Option B

Option C

Please see the attached picture.

hope it helps

Good luck on your assignment..

Kassy is traveling to Peru for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Texas, located at(5, 16) on the map’s coordinate grid, makes a stop at the halfway point, Panama, and then heads to its destination, Peru, located at(7, 8) on the map’s coordinate grid. Find the location of Panama on Kassy’s map. Enter as a coordinate with no spaces.

Answers

Answer:

(6,12)

Step-by-step explanation:

Use the mid point formula to find the answer. Add the first x value to the second and divide by two for your x midpoint, then add the first y value to the second y value and divide by two for your y midpoint.

Select the function that represents the simple interest formula.
O A. A(n) = (n - 1)(P..)", where n is any real number
O B. A(n) = P+(n-1);• P, where nis a positive integer
O C. A(n) = + (P-1)/• P, where n is a positive integer
O D. A(n) = P(1 + )" – 1, where n is any real number

Answers

Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer

Step-by-step explanation:

Answer: It is B have a nice day

Step-by-step explanation:

A student made a mistake when measuring the volume of a big container. He found the volume to be 75 liters.However, the real value for the volume is 60 liters. What is the percent error?

Answers

Answer: 20%

Step-by-step explanation:

Explanation is in progress of writing:

First, I will divide 60 by 75 and multiply by 100, to find what percent of 75 is 60:

= [tex]\frac{60}{75}[/tex] · 100

= 0.8 · 100

= 80%

The percentage error of the student's measurement is 25%.

Given the following data;

Experimental value = 75 liters Real value = 60 liters

Percentage error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, percentage error is given by this expression;

[tex]Perecent \; error = \frac{Real \; value - Experimental \; value}{Real \; value} * 100[/tex]

Substituting the values into formula, we have;

[tex]Perecent \; error = \frac{60 - 75}{60} * 100[/tex]

[tex]Perecent \; error = \frac{-15}{60} * 100[/tex]

Note: The negative sign is neglected in percentage error.

[tex]Perecent \; error = \frac{1}{4} * 100[/tex]

Percent error = 25%

Therefore, the percent error is 25%.

Find more information: https://brainly.com/question/3105259

Help!!!

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: $13.47 per hour.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

:))))))))))))))))))))​

Answers

Answer:

C

Step-by-step explanation:

[tex]48 \geqslant 6 - 7a \\ 48 - 6 \geqslant - 7a \\ 42 \geqslant - 7a \\ a \geqslant \frac{ 42}{ -7} \\ a \geqslant - 6[/tex]

Hope this helps..

Answer:

C.  [tex] a \ge -6 [/tex]

Step-by-step explanation:

[tex] 48 \ge 6 - 7a [/tex]

Add 7a to both sides.

[tex] 7a + 48 \ge 6 [/tex]

Subtract 48 from both sides.

[tex] 7a \ge -42 [/tex]

Divide both sides by 7.

[tex] a \ge -6 [/tex]

Answer:   [tex] a \ge -6 [/tex]

Which inequality is true?

A. 6 - pi > 3
B. pi + 3 < 6
C. 8 pi > 24
D. 12/pi > 4

Answers

Answer:

C.

Step-by-step explanation:

Round pi to 3.14 to get a rough estimate.

6 - 3.14 > 3 FALSE

3.14 + 3 < 6 FALSE

8 * 3.14 > 24 TRUE

12 ÷ 3.14 > 4 FALSE

The answer is C , I got the same solution

Which of the following equations is equivalent to the slope formula

Answers

Answer: D

Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.

This gives you m(X2 - X1) = Y2 - Y1.

Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.

This slope would be equivalent to the usual slope formula.

Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.

Plz help

Answers

Answer:

The correct statements are:

A) Several factors affect how sediment settles.

C) Moving water affects where sediment travels.

E) Sediments are carried by a transport medium.

QUESTION:

I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:

Which statements describe characteristics of deposition? Check all that apply.

A) Several factors affect how sediment settles.

B) Sediment is added to a new surface location.

C) Moving water affects where sediment travels.

D) Rocks are broken into smaller particles.

E) Sediments are carried by a transport medium.

If this was not your question, then you can still relate to this, as the answer would be same.

EXPLANATION:

Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.

Moving water affects where sediment travels.

Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.  

It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.

At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.

Learn more in https://brainly.com/question/20625095

A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. Determine the price of the hamburger.

Answers

Answer:

$3.99

Step-by-step explanation:

if one fry and one Burger is $5.49, and two fries and one Burger is $6.99, the difference between those two numbers is a $1.50 so, $5.49 - $1.50 equals $3.99 also known as the amount of money for one Burger.

CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED

Answers

Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

What is the volume of the cylinder below?

Answers

i’m sorry, i don’t think the cylinder picture is attached

Answer:

No picture

Step-by-step explanation:

The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]

H= height    R: Radius

So for example if the height was 10 and the radius was 2 you would do the following:

Hx[tex]\pi r^{2}[/tex]

= 10x 3.14x[tex]2^{2}[/tex]

= 10x 3.14x 4

= 10x 12.56

= 125.6cm^3 :)

[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps


Which of the following has the smallest value?

19%
0.9
1/4

Answers

0.9 has the smallest value
I think 0.9 ........

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10

Answers

Answer:

y = -4x+5

Step-by-step explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5

Answer:

O y=-4x + 5

Step-by-step explanation:

I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:

"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.

"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.

"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.

"y=-4x + 5" should be the correct answer.


[tex]( {8x}^{2} + 4x + 4) - (7x + 9)[/tex]
Solve.

Answers

Answer:

Combining like terms together we get 4x - 7x = -3x and 4 - 9 = -5 so the answer is 8x² - 3x - 5.

I need help ty i only need the answer

Answers

Answer:

50°

Step-by-step explanation:

90° add 40° makes 130°. 180° minus 130° makes 50°

Answer:

50

Step-by-step explanation:

90+50+40= 180 which is the total of  a right triangle

50 points!!!!!!


Match the vocabulary word with the correct definition.
1. one-to-one correspondence
2. included side
3. corresponding angles
4. congruent figures
5. corresponding sides
6. included angle

Sides paired with one another in a
one-to-one correspondence between
figures.
If a one-to-one correspondence
between the parts of two figures is such
that the corresponding parts are equal,
then the figures are congruent.
The side of a triangle that is formed
by the common side of two angles.
A situation for which each member
of a set, such as angles of a triangle, can
be paired with one and only one
member of another set. The angle formed by two sides of a
triangle
Angles paired with one another in a
one-to-one correspondence between
geometric figures.

Answers

Answer:

5. corresponding sides -> Sides paired with one another in a  one-to-one correspondence between  figures.  

4. congruent figures -> If a one-to-one correspondence  between the parts of two figures is such  that the corresponding parts are equal,  then the figures are congruent.

2. included side -> The side of a triangle that is formed  by the common side of two angles.

1. one-to-one correspondence -> A situation for which each member  of a set, such as angles of a triangle, can  be paired with one and only one  member of another set.

6. included angle  -> The angle formed by two sides of a  triangle

3. corresponding angles -> Angles paired with one another in a  one-to-one correspondence between   geometric figures.

Please look at the image below. I NEED TO ANSWER THIS NOW!!

Answers

Answer:

Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here

Step-by-step explanation:

A fair spinner A is spun 7 times. What is the probability of getting “Green” at least 5 times if there are 8 colors separated equally?

Answers

Answer:

[tex]6\frac{2}{3}[/tex]

Step-by-step explanation:

OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically  [tex]\frac{20}{3}[/tex] then simplify it into [tex]6\frac{2}{3}[/tex]

Answer plz!
Which choices are equivalent to the expression below? Check all that apply.

Answers

The right options are:

Option AOption COption E

please see the attached picture

Hope it helps

Good luck on your assignment

Solve this system of equations using the multiplication method. Please show all work to receive credit. 5x - 2y = 30 2x + 4y = 24

Answers

Answer:

its 4

Step-by-step explanation:

A computer technician charges a flat rate for home visits plus $ 55 per hour. The technician bills $190 for a 2-hour home visit to install a new hard drive. The equation y − 190 = 55(x − 2) gives the total amount y the technician charges for x hours of work.

What is the equation in slope-intercept form?

y = 55x + 190

y = 55x + 80

y = 190x + 55

y = 2x + 55

Answers

Answer: y = 55x + 80

Step-by-step explanation:

Answer:

1.  y = 55x + 80

2. the flat rate

3. The technician worked 4.5 hours

Step-by-step explanation:

Hope this helps!

Which of the following is equivalent to 10000 lb?

Answers

Answer:

5 Tons

Step-by-step explanation:

Or 7,858.35 Pound sterling In Money Standards

HELP NOW
3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !!

Answers

Answer:

A = $ 31,043.09

A = P + I where

P (principal) = $ 3,600.00

I (interest) = $ 27,443.09

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

help on this translation, please :)

Answers

Answer:

1) False, the point would get flipped diagonally, to -4, 4.

2) True, the point would get flipped diagonally, to -2, 6

3) False, the point would get flipped diagonally, to -3, 1

4) True, the point would get flipped diagonally, to 5, 2

5) True, the point would get flipped diagonally, to 7, 5

6) False, the point would get flipped diagonally, to -9, 3

7) True, the point would get flipped diagonally, to -5, 4

8) True, the point would get flipped diagonally, to 2, 1

Answer:

1. true

2. false

3. true

4. false

5. false

6. true

7. false

8. false

Step-by-step explanation:

DONT TRUST ME ON THESE ANSWERS CAUSE IM NOT 100% SURE :0

does anyone know this?

Answers

Answer:

The ? is (-1) * (-1) = 1.

What is 2 less than a number

Answers

Answer:

2<x

Step-by-step explanation:

less than x

Answer:

n-2

Step-by-step explanation:

lets put the variable N to mean the "number"

Subtraction is used to take away a certain amount, so 2 less than is that certain number subtracted 2

which can be written as n-2

Explain how to angles can be supplementary angles?

Answers

Answer:

if the sum of all the angles equal 180

Step-by-step explanation:

the sum equals 180 ...

Solve the equation shown below.

12x−6=4

x =−4

x=−2

x=10

x=20

Answers

____________________________

Hey!!

Solution

12x-6=4

or,12x=4+6

or,12x=10

or,X=10/12

X=5/6

The value of X is 5/6

hope this helps.

___________________________

Answer:

x = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

→Add 6 to both sides:

12x - 6 =4

12x = 10

→Divide both sides by 12:

x = [tex]\frac{10}{12}[/tex]

→Simplify:

x = [tex]\frac{5}{6}[/tex]


please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

-17/27=-0.63

-8/18=-0.44

In a cartesian plane

-ve side is in the left side of zero

after zero you meet -0.44 first before -0.63

This means, both lie to the left of zero, but -8/18 lies to the right of -17/27.

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