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the surface area of a sphere is 1,017.36 square inches.what is the volume of the sphere? use 3.14 for pi

User Mch
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1 Answer

1 vote

Answer:

Area = 254.34 inches ³

Explanation:

The formula to find the surface area of a sphere is:


SA = 4\pi r^(2)

To find the volume of the sphere, we first need to figure out the radius (
r) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area.
(1017.36 in^(2))


SA = 4\pi r^(2)


1017.36 = 4\pi r^(2)

Divide both sides by pi (
3.14).


1017.36 = 4\pi r^(2)


324 = 4 r^(2)

Divide both sides by 4.


324 = 4 r^(2)


81 = r^(2)\\

Find the square root of both sides.


81 = r^(2)\\


√(81) = r

radius = 9

Insert the value of the radius into the formula for finding the volume of a sphere.
(A=\pi r^(2))


(A=\pi r^(2))


A=\pi (9)^(2)


A=\pi (81)


A = 254.34

Area = 254.34 inches ³

~Hope this helps!~

User Mfrackowiak
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