The volume of this sphere is 904.32 cubic inches. What is the surface area of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

A = 4 pi R^2     V = 4/3 pi R^3

A / V = 3 / R

Also, R = (3 * V / 4 * pi)^1/3 = (3 * 904.32 / (4 * pi))^1/3 = 6 in

So A = 3 / 6 * V = 1/2 * 904.32 = 452.16 in^2

Answer 2

The surface area of the sphere is S = 452.39 inches²

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be V = 904.32 inches³

Let the surface area of the sphere be S

And , Volume of a Sphere = ( 4/3 ) πr³

In this case, we are given that the volume of the sphere is 904.32 cubic inches, so we can set up an equation:

904.32 = (4/3)πr³

Solving for r:

r³ = (3/4) x (904.32 / π)

r ≈ 6.0 inches (rounded to one decimal place)

Now that we know the radius, we can use the formula for the surface area of a sphere:

A = 4πr²

Plugging in the value of r:

A = 4 x 3.14 x 6.0²

A ≈ 452.39 inches² (rounded to two decimal places)

Hence , the surface area of the sphere is approximately 452.39 square inches.

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Related Questions

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Answer:

---

Step-by-step explanation:

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---

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From the given information :

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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3D is the answer I agree with the other person I am right

i will give Brainiest if your right

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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meters

Answers

Answer: 20+21+20+21=40+42=82

Step-by-step explanation:

Add up the sides

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Try:

20+21=41

Multiply by 2:82

Answer:

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Step-by-step explanation:

to get the perimeter of a rectangle or square you have to add the lengths of all the four sides

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

(1.5, 0.5)

Step-by-step explanation:

Given the coordinate point (x, y, if it is enlarged by a factor of k, hence the resulting coordinate will be (kx, ky)

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Step-by-step explanation:

PLEASE USE THESE CO - ORDINATES IN ORDER TO PLOT THE TRIANGLE AND THEN USE THE LINES TO JOIN IT UP

Always proud to help!

If the value of a in the quadratic function f(x) = ax2 + b3 + cis , the function will:
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Read more on quadratic functions here: brainly.com/question/29499209

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Complete Question:

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Can you please upload a picture?


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Answers

answer:

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step-by-step explanation:

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good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

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0
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{
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You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftovers what is the greatest length of pieces that you can make?​

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i do

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Josie is creating 5 music playlists for her dance classes. She will use a total of 60 songs. Each playlist will have 7 older songs and the same number of newer songs.
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Step-by-step explanation:

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Answers

Answer:

$2 and 75%????

Step-by-step explanation:

I'm not 100% sure but I think thats right

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Explanation:

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Answers

Answer:

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Step-by-step explanation:

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