Question

A sphere has a volume of 4500 cubic inches. What is the radius off the shpere

Answer 1

Answer:

The radius of sphere with volume 4500 cubic inches is 10.24 inches.

Step-by-step explanation:

Let V be the volume of the sphere

Given

Volume of sphere = V = 4500 cubic inches

Let r be the radius of the sphere

The volume of the sphere is given by the formula

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

Putting the known values

$4500 = \frac{4}{3} * \frac{22}{7} * r^3\\4500 = \frac{88}{21} * r^3\\r^3 = \frac{21}{88} * 4500\\r^3 = 1073.8636$

Taking cube root on both sides

$\sqrt[3]{r^3} = \sqrt[3]{1073.8636} \\r = 10.2403$

Rounding off to nearest hundredth

The radius is: 10.24 inches.

Hence,

The radius of sphere with volume 4500 cubic inches is 10.24 inches.