Question

A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15 cm .What is the volume of the bowl?

Either enter an exact answer in terms of π or 3.14

Answer 1

7065 cm³

Explanation:

Volume of a hemisphere:

⅔ × pi × r³

⅔ × 3.14 × 15³

7065 cm³

Answer 2

2250π cm cubed

Explanation:

The volume of a sphere is:
`V=(4)/(3) \pi r^3`, where r is the radius. That means that the volume of half a sphere is:
`V=(4)/(3) \pi r^3*(1)/(2) =(2)/(3) \pi r^3`.

Here, the radius is r = 15, so plug this in:

`V=(2)/(3) \pi r^3`

`V=(2)/(3) \pi *15^3=2250\pi` cm cubed

Hope this helps!