Question

The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.

Answer 1

C: 267.95 cm3

Explanation:

Answer 2

`267.95 cm^3`

Explanation:

We need to first find the radius of the sphere.

The surface area of a sphere is given as:

`A = 4\pi r^2`

where r is the radius

Therefore:

`200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = √(16) \\\\r = 4cm`

The radius of the sphere is 4 cm.

The volume of a sphere is given as:

`V = (4)/(3) \pi r^3`

Therefore, the volume of the sphere of radius 4 cm is;

`V = (4)/(3) * 3.14 * 4^3\\\\V = 267.95 cm^3`

The volume of the sphere is
`267.95 cm^3`