Question

What is the radius of a sphere with a volume of 1203 cm', to the nearest tenth of a

centimeter?

Answer 1

The radius of the sphere is of 6.6 centimeters.

Explanation:

Volume of an sphere:

The volume of an sphere of radius r is given by:

`V = (4\pi r^3)/(3)`

In this question:

`V = 1203 \text{cm}^(3)`

Replacing into the equation, we find the radius, in centimeters. So

`V = (4\pi r^3)/(3)`

`1203 = (4\pi r^3)/(3)`

`r^3 = (1203*3)/(4\pi)`

`r = \sqrt[3]{(1203*3)/(4\pi)}`

`r = 6.6`

The radius of the sphere is of 6.6 centimeters.