The surface area of a sphere

324 square centimeters. What is volume in cubic centimeters, of the sphere? Express your answer in terms of pi

The surface area of the sphere is SA = 324π cm².

Calculate the surface area of the sphere by using the formula: SA = 4πr².

To find the value of r, substitute SA = 324π in the above formula.

324π = 4πr²

81 = r²

r = ± 9.

The measurements of the sphere cannot be expressed in negative sign.

The radius of the sphere is r = 9 cm.

Calculate the surface area of the sphere by using the formula: V = (4/3) πr³.

Substitute r = 9 in the above formula

V = (4/3) π 9³ = 972π cm³.