Question

Find the volume of the hemisphere with a radius of 9 mm. Leave the answer in terms of pie

Answer 1

Hello !

Answer:

`\Large \boxed{\sf V_(\sf hemisphere)=486\pi\ mm^3}`

Explanation:

The volume of a sphere is given by
`\sf V_(\sf sphere)=(4)/(3) \pi r^3` where r is the radius.

Moreover, the volume of a hemisphere is half the volume of a sphere, so :

`\sf V_(\sf hemisphere)=(1)/(2) V_(sphere)\\\\\sf V_(\sf hemisphere)=(2)/(3) \pi r^3`

Given :

• r = 9 mm

Let's replace r with its value in the previous formula :

`\sf V_(\sf hemisphere)=(2)/(3) *\pi * 9^3\\\sf V_(\sf hemisphere)=(2)/(3) * 729*\pi\\\boxed{\sf V_(\sf hemisphere)=486\pi\ mm^3}`

Have a nice day ;)