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.

Question

asked Sep 6, 2021 149k views

2 Answers

Baruch Even · Answer 1 · 2021-09-13T11:05:39+0000

Answer:

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