Question

The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?

Answer 1

A hemisphere is simply half a sphere, which means it has half of the volume of the original sphere.


Put another way, the volume of the sphere is double the volume of the hemisphere.

Therefore, the ratio of the volume of the sphere to the volume of the hemisphere is 2:1

Answer 2

The volume of the sphere is eight times the volume of hemisphere

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x-----> volume of the hemisphere

y-----> volume of the sphere

`z^(3)=(x)/(y)`

in this problem we have

`z=(1)/(2)`

substitute

`((1)/(2))^(3)=(x)/(y)`

`((1)/(8))=(x)/(y)`

`y=8x`

that means------> The volume of the sphere is eight times the volume of hemisphere