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If the diameter is a cylinder is increased by 150% and the height remains the same, by what percent does its volume increase?

 Jul 18, 2022
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Volume of   of original cylinder  =  pi ^r^2 * h

 

When the  diameter is  increased by 150%  (1.5 times) so is the radius

 

New volume =    pi * ( 1.5 r)^2 * h =   (2.25) * pi ^r^2 * h

 

% increase   =    ( 2.25  -1)  / ( 1)  x  100%  =   1.25 x 100%   =   125 %

 

cool cool cool

 Jul 18, 2022

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