Question

What is the volume of a hemisphere with a radius of 61.9 m, rounded to the nearest

tenth of a cubic meter?

Answer 1

The volume of the hemisphere = 496741.6 m³

Explanation:

Volume of a sphere is= (4/3) × π × r³

r is the radius

π is 22/7

hemisphere is half of an sphere,

so the volume of henisphere is (2/3) × π × r³

Given that ;

r = 61.9 m

`V = (2\pi (61.9)^(3))/(3) = 496741.6`

therefore, the volume of the hemisphere is 496741.6 m³

Answer 2

The volume of the hemisphere is 496741.6 m³

Explanation:

The volume of an sphere is given by:

`V_(s) = (4\pi r^(3))/(3)`

In which
`\pi = 3.14` and r is the radius.

An hemisphere is half of an sphere, so it's volume is half the sphere's volume. So

`V_(h) = (V_(s))/(2) = (2\pi r^(3))/(3)`

In this question:

`r = 61.9`. So

`V_(h) = (2\pi (61.9)^(3))/(3) = 496741.6`

The volume of the hemisphere is 496741.6 m³