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The radius of a cylinder is doubled and its height is tripled. If its original volume was 10 cubic feet, what is its volume now, in cubic feet?

Guest Oct 29, 2018

Best Answer 

 #1
avatar+13578 
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Cylinder volume = pi r^2 h

now double r   and triple h

volume = pi (2r)^2 3h = pi 4r^2 3h= 12 pi r^2 h     or 12 times the original volume     12 x 10 = 120 ft^3 (new volume)

ElectricPavlov  Oct 29, 2018
 #1
avatar+13578 
+3
Best Answer

Cylinder volume = pi r^2 h

now double r   and triple h

volume = pi (2r)^2 3h = pi 4r^2 3h= 12 pi r^2 h     or 12 times the original volume     12 x 10 = 120 ft^3 (new volume)

ElectricPavlov  Oct 29, 2018

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