Question

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

Answer 1

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!~