Question

The volume of a sphere is 81π cubic centimeters. Which equation can be used to solve for the radius of the sphere?

A. 81π=4πr^2
B. 81π=4πr^3
C. 81π=4/3πr^3
D. 81π=4/3πr^2

Answer 1

C. 81π=4/3π^3

Explanation:

The volume of a sphere will required the radius of a sphere to be multiplied by itself to the power of three seeing that this is the only metric amount in the volume equation. The volume of a sphere is defined as the following:

V=4/3*π*r^2

The volume is given as 81π

Therefore the expression can be written as:

81π=4/3π^3

Option C is the correct equation

Answer 2

we know that

[volume of a sphere]=(4/3)*pi*r³
volume=81*pi cm³
so
81*pi=(4/3)*pi*r³

therefore

the answer is the option
C.) 81π=4/3πr^3