Question

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.

Answer 1

`72\pi\ in^(3)`

Explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

`V=\pi r^(2)h`

we have

`r=6/2=3\ in` -----> the radius is half the diameter

`h=12\ in`

substitute the values

`V=\pi (3)^(2)(12)=108\pi\ in^(3)` ------> exact value

step 2

Calculate 2/3 of the volume

`V=(2/3)108\pi=72\pi\ in^(3)`