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postnew [5]
3 years ago
7

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 fil

l? Do not round your answer.​
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

72\pi\ in^{3}

Step-by-step explanation:

step 1

<em>Calculate the volume of the cylinder (flower vase)</em>

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}

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