Question

Find the radius of a sphere with a volume of 2304 pi cubic centimeters.

Answer 1

Answer:

The radius of a sphere would be 12 cm.

Step-by-step explanation:

The formula for the volume of the sphere =

$V=\frac{4}{3}\pi r^3$

By putting the value of volume we can find the radius of the sphere.

Volume of the sphere = 2304 π cm³

$2304\pi =\frac{4}{3}\pi r^3$

$2304=\frac{4}{3} r^3$

$2304\times \frac{3}{4}=\frac{3}{4}\times \frac{4}{3}r^3$

$2304\times \frac{3}{4}=r^3$

576 × 3 = r³

$r=\sqrt[3]{1728}$

r = 12

The radius of a sphere would be 12 cm.