Question 572059
the radius of base of a right circular cylinder is increased by 25% and its height is decreased by 10%.
Find the percentage increase of volume
:
{{{((pi*(1.25r)^2*.9h))/((pi*r^2*h))}}}
Cancel pi and h; square 1.25;
{{{(((1.25r)^2*.9))/((r^2))}}} = {{{((1.5625*r^2*.9))/((r^2))}}}
cancel r^2
1.5625*.9 = 1.40625: volume increased by 40.625%