What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter?

Question

asked Jul 5, 2022 163k views

2 Answers

Arun Gupta · Answer 1 · 2022-07-09T05:09:30+0000

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Explanation:

The volume of a hemisphere (
), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

$V = (2\pi)/(3)\cdot R^(3)$ (1)

Where
is the radius of the hemisphere, in centimeters.

If we know that
$R = 9.7\,cm$ , then the volume of the hemisphere is:

$V = (2\pi)/(3)\cdot R^(3)$

$V = (2\pi)/(3)\cdot (9.7\,cm)^(3)$

$V \approx 1911.498\,cm^(3)$

The volume of the hemisphere is approximately 1911.5 cubic centimeters.