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

Answer:

$72\pi\ in^{3}$

Step-by-step 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

$V=(2/3)108\pi=72\pi\ in^{3}$