Question

The volume of a sphere is 32/3 π cubic centimeters. What is the radius?

Answer 1

Answer:

The radius of the sphere is 2 cm

Step-by-step explanation:

To find the radius of a sphere with a volume of 32/3 π cubic centimeter, we will follow the steps below,

First write down the formula for calculating the radius of the sphere.

That is;

V= $\frac{4}{3}$ πr³

where v is the volume of the sphere and  r is  the radius of the sphere.

From the question given volume is equal to 32/3 π cubic centimeters.

Substitute for v in the formula and solve for r

V= $\frac{4}{3}$ πr³

$\frac{32}{3}$ π  =  $\frac{4}{3}$ πr³

The  π  at the left-hand side will cancel-out the π on the right-hand side of the equation.

$\frac{32}{3}$  =  $\frac{4}{3}$ r³

Multiply both-side of the equation by $\frac{3}{4}$

$\frac{32}{3}$ × $\frac{3}{4}$  =  $\frac{3}{4}$× $\frac{4}{3}$ r³

8=r³

Take the cube root of both-side of the equation

∛8=∛r³

2 = r

r = 2 cm

Therefore the radius of the sphere is 2 cm