What is the volume of a hemisphere with a radius of 40.7 in, rounded to the nearest tenth of a cubic inch?

Answers

Answer 1

Answer:

[tex](\frac{4}{3} \pi 40.7^{3})/2[/tex]

[tex]\pi =3.14[/tex]

[tex](4*3.14*40.7^{3} )/3 = 282,261.5[/tex]

[tex](282,261.5)/2 = 141,130.7 in^{3}[/tex]

Step-by-step explanation:

1. Volume of sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

2. Volume of hemisphere

[tex]V=(\frac{4}{3} \pi r^{3} )/2[/tex]

Answer 2

The volume of hemisphere  is 1,41,130.7 cubic inch.

What is hemisphere?

The words hemisphere and sphere can be separated into hemi, which denotes half, and sphere, which refers to the mathematical 3D shape. Consequently, a hemisphere is a 3D geometric object that is made up of half of a sphere, with one side being flat and the other being a bowl-like shape. It is created by precisely cutting a spherical along its diameter, leaving behind two identical hemispheres.

Given the radius of hemisphere  = 40.7 inches

to find the volume,

volume of hemisphere  = 2/3πr³

volume of hemisphere  = 2/3(3.14)(40.7)³

volume of hemisphere  = 2/3(3.14)(67419.143)

volume of hemisphere  = 1,41,130.7 cubic inch.

Hence the volume is 1,41,130.7 cubic inch.

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Related Questions

Brea was asked to find the area of a rectangular field they build with square flat blocks. If the sides of the rectangular field were 5/6 and 1/2 kilometers, how many 1/2 kilometers sqaure blocks will the students need to build the field?

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Answer:

need

Step-by-step explanation:

points

Please help me quick!!!!!!!!!!!!!!!!!

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Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)

Answers

Given coordinate rule. T(x, y) → (x + 3, y – 6) determine the pimage of A(-1, 5)? ... f) P (x,y) ------ > (x + 3, 2y) A (-4,9). A' (-1, 18)_. B (2, 4)_. B' (5,8). 9.

Simplify the expression:

3x (4x-6)
—————
2x(3x)

Answers

Answer:

[tex]=\frac{2x-3}{x}[/tex]

Step-by-step explanation:

[tex]=6x^2\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{3x\left(4x-6\right)}{2x\cdot \:3x}\\2x\cdot \:3x=6x^2\\=\frac{3x\left(4x-6\right)}{6x^2}\\\mathrm{Cancel\:}\frac{3x\left(4x-6\right)}{6x^2}:\quad \frac{4x-6}{2x}\\=\frac{4x-6}{2x}\\\mathrm{Factor}\:4x-6:\quad 2\left(2x-3\right)\\=\frac{2\left(2x-3\right)}{2x}\\\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1\\=\frac{2x-3}{x}[/tex]

Please I need help with this questions.....

Answers

Answer:

Correct

Step-by-step explanation:

This report is correct because the most people finished in 4 hours

Answer:

I think you are correct. I hope this helps please tell me if you get it right or wrong.

Step-by-step explanation:

What is the answer of 135=-9x+9?

Answers

Answer:

x=-14

Step-by-step explanation:

move all the terms that don't  contain x to the right side and solve.

(idk if this is correct but i hope it helps)

Answer:

Please mark me brainliest and I hope this helped!

X = -14

Step-by-step explanation:

First, we want to isolate the variable. So we subtract 9 from both sides and that gives us 126= -9. Now we divide both sides by -9. That gives us -14=x. So the answer is:

x = -14

The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43

Answers

The answer would be A. 14 and 42

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem

Answers

you could download 2 more songs.

X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song

please come in clutch and help me please and thank you!

Answers

Answer:

3/20

Step-by-step explanation:

its 3/20 because its really the only possible answer that has 20 has its denominator

Are the following two figures similar or congruent?

A. Congruent
B. Similar

Please help me with this

Answers

Answer:

B. Similar

Step-by-step explanation:

Congruent triangles have to be the same size. Similar triangles need to have the same angles but are not the same size.

Answer:

B. Similar

Step-by-step explanation:

The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.

Answers

It's an equation.

(Btw i luv your profile pic :))

Answer:

It's an equation.

Step-by-step explanation:

[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value

for an example,

[tex]4 < 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

p = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c
The answer is P/2-b=c.

PLS HELP!! IT"S DUE SOON! An iron bar that weighs 2 1/4 lb. is cut into smaller bars that weigh 6 ounces each. How many smaller bars are there?

Answers

There are 6 smaller bars

Explanation: 2 1/4 lb. to ounces is 36 ounces. Divide it by 6 and it makes 6 smaller bars.

Answer:

There are 6 smaller bars

There are 5 bacteria in a petri dish at the start of an
experiment. This type of bacteria doubles every 20
minutes.
Find the number of bacteria after 4 hours.
40
10,240
20,480
40,960

Answers

Answer:

20,480

Step-by-step explanation:

5x2^12

Answer:

20480

Step-by-step explanation:

got it right on edge

The equation of the line of best fit is y = 10x + 40. What does the y-intercept represent?
A.
the total number of questions on the test

B.
the average number of hours the students spent studying

C.
the total number of hours the students spent studying

D.
the test score of a student who did not study

Answers

Answer: D

Step-by-step explanation:

For a student who did not study for the test you will still score 40 on the test by using you own  knowledge.

If the radius of a cone is 3 cm and a height of the Cone is 8 cm what is the surface area

Answers

Answer:

24

Step-by-step explanation:

if the radius is 3 cm and the height is 8 cm we would multiply3 x 8 = 24so the answer is 24

PLEASE HURRY I DONT KNOW THE ANSWER

Answers

Answer:

20

Step-by-step explanation:

We can use similar triangles

12/3 = x/5

x = 20

Answer:

VS = 20

Step-by-step explanation:

ST/SV = RT/QV

SV = ST×QV/RT

= 12×5/3

= 60/3

= 20

A right cylinder has a diameter of 40 mm in a high of 30 mm as soon what is the volume of the cylinders

Answers

________________________________

Hey!!

Solution,

Diameter=40 mm

Radius=40/2=20mm

Height=30mm

Volume of cylinder=?

Now,

Volume of cylinder=pi (r)^2 h

= 3.14*(20)^2*30

=3.14*400*30

=37,680 mm^3

So the right answer is of option A

hope it helps

Good luck on your assignment

__________________________________

Answer:

37,680 mm3

Steps:

Formula: Volume = Area * height

1:    = (pi/4)*D^2 * h

2:   = (pi/4)*(40)^2 * 30  

3:    = 37,680 mm3

Description:

We know that r is the radius and h is the height. So the

radius of the cylinder going to be r=40/2=20mm

Height of cylinder: 30mm

Meaning when you add up all the numbers answer will come as  37,680 mm3.  So a is the right answer for this question.

Answer: A.   37,680 mm3

Please mark brainliest

Hope this helps.

Help with homework! Basic area question.

Answers

Answer:

254.502

Step-by-step explanation:

IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!

Answer:

i believe the answer is: 69.498 cm

Step-by-step explanation:


Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *

Answers

Answer: (AA, AB, AC, BA, BB, BC, CA, CB, CC)


Explanation: Since e are only looking at the outcomes, there are no numbers needed. However, it is worth noting that there 9 possible outcomes.

Also, it would be helpful to use a tree diagram on problems like this, which is simply a visual representation of the outcomes (aka sample space).

Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)

Answers

Answer:

w = - 5, w = - 3

Step-by-step explanation:

Given

w² + 8w + 15 = 0

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)

The factors are + 5 and + 3 , since

5 × 3 = 15 and 5 + 3 = 8 , thus

(w + 5)(w + 3) = 0 ← in factored form

Equate each factor to zero and solve for w

w + 5 = 0 ⇒ w = - 5

w + 3 = 0 ⇒ w = - 3

Help please!!!! It geometry and i have no clue wht im doing

Answers

Step-by-step explanation:

21. supplementary angles (add up to 180°)

22. vertical angles (congruent)

23. vertical angles (congruent)

24. supplementary angles (add up to 180°)

25. supplementary angles (add up to 180°)

26. supplementary angles (add up to 180°)

27. supplementary angles (add up to 180°)

28. supplementary angles (add up to 180°)

29.

(complementary angles)

[tex]4x+3+x-8=90\\5x-5=90\\5x=95\\x=19\\[/tex]

30.

(supplementary angles)

[tex]9x-4+4x-11=180[/tex]  

[tex]13x-15=180\\13x=195\\x=15[/tex]

31.

(vertical angles)

[tex]x-15=60\\x=75[/tex]

32.

(supplementary angles)

[tex]63+11x+2+5x-13=180\\52+16x=180\\16x= 128\\x= 8[/tex]

33.

(complementary angles)

[tex]x+28+6x-15=90\\7x+13=90\\7x=77\\x=11[/tex]

Hope this helps!

Which of the following is a TRUE statement about the triangle below?

Answers

Answer:

it is an acute triangle

Step-by-step explanation:

angle M is 180 - 44 - 77 = 59

since all angles are less than 90 degree, thus is an acute triangle

What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)

Answers

Answer:

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

Step-by-step explanation:

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

:)

The vertices of the triangle after rotation are:-

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).

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What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828​

Answers

Answer:

The correct option is D

D) -0.828

Step-by-step explanation:

Step 1:

First find the mean of both x data set and y data set

x(mean) = 39/5 = 8

y(mean) = 53/5 = 11

Step 2:

(find the values given in table attached below. The formation of table is step 2)

Step 3:

Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula

r = ∑XY/(√∑X². ∑Y2²

∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2

r = -119.4/(√50.8 x 409.2)

Simplify above expression

r = -119.4/√20787.36

r = -119.4/144.1782

r = -0.8281

Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}

Which is a possible turning point for the continuous
function f(x)?
HELP ASAP

Answers

Answer: B. (-2, -1)

Step-by-step explanation:

(-2, -1) has a y-coordinate (-1) closer to 0 than the rest of the y-coordinates. And 0 would be turning point in this equation.

Answer:

b

Step-by-step explanation:

( 5 x − 3 √ 6 ) ( 5 x + 3 √ 6 )

Answers

Answer:

b because look at the notes and study

Answer:

[tex]{25x}^{2} - 54[/tex]

What is the domain of the function on the graph?

Answers

Answer:

D: [-3, ∞)

Step-by-step explanation:

The x values go from -3 to infinity

The domain is the set of valid x values.   That's all real numbers -3 and up, last choice.

the 14th hole at riverwoods golf course is 378 yards long how long would it be on a model with a scale of 0.5 inches to 75 yards

Answers

Answer:

2.52 inches

Step-by-step explanation:

Model: 1 inch =150 yds

378/150=2.52

Length of model: 2.52 inch

pls help this is due tmr pls help:(​

Answers

Answer:

The correct answer is 4 (0.72n)

Total notebook = 70

Total cost = 50.4

now

cost of one note book = total cost / total no notebook

= 50.4/70

= 0.72

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