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