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Cylinder A has a radius of 1 m and a height of 3 m. Cylinder B has a radius of 3 m and a height of 3 m. What is the ratio of the volume of cylinder A to the volume of cylinder B. I think it's 1:3 am I right?

May 26, 2017
edited by NotSoSmart  May 26, 2017

#1
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Volume of A =Pi x r^2 x h

=3.141592 x 1^2 x 3

=~9.42 m^2 Volume of cylinder A

Volume of B =3.141592 x 3^2 x 3

=~84.82 m^2 Volume of cylinder B

Ratio of A to B =9.42 / 84.82 =0.111. Or, a ratio of ~ 1:9

May 26, 2017
#2
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So it's 1:9?

NotSoSmart  May 26, 2017
#3
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The volume of a cylinder is  pi*r^2*h

Both cyliders have the pi and they both have the height of 3 so...

Only the r is different in the 2 cylinders so the ratio of the volumes is just    \(1^2:3^2 \)

whichi is just   1:9

May 26, 2017
#6
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Thanks!

NotSoSmart  May 26, 2017
#4
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YES !!!! Just divide B/A =84.82 /9.42 =~9. So the ratio of B to A is 9:1, Or the reverse 1:9 is the ratio of A to B.

May 26, 2017
#5
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Oh ok thanks!!

NotSoSmart  May 26, 2017