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?

Question

asked Aug 7, 2021 122k views

1 Answer

Jasmeen · Answer 1 · 2021-08-13T12:30:42+0000

Answer:

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.