Question

What is the radius of a hemisphere with a volume of 324\text{ ft}^3,324 ft 3 , to the nearest tenth of a foot?

Answer 1

5.4 ft

Explanation:

Given that the volume of the hemisphere sphere,
`V= 324 ft^3`.

Let r be the radius of the hemisphere.

As the volume of the hemisphere,
`V=\frac {2}{3}\pi r^3`

By using the given value, we have

`\frac {2}{3}\pi r^3=324`

`\Rightarrow r^3=(324* 3)/(2\pi) \\\\\Rightarrow r^3=(324* 3)/(2*3.14) \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^(1/3) \\\\`

`\Rightarrow r=5.4` ft

Hence, the radius of the hemisphere is 5.4 ft.