Question 167877
. For the larger can, both the diameter and the height have been increased by 25%.
By what percentage does the volume of the can increase from the smaller can to the larger can?
:
Volume = {{{pi*r^2*h}}}
:
original can r=1, h=1
:
New can r = 1.25; new h = 1.25
:
{{{pi*1^2*1}}} = 3.1416 original v
{{{pi*1.25^2*1.25}}} = 6.136 new v
:
6.136 - 3.1416 = 2.99; vol increase
:
{{{2.99/3.1416}}} = .9531 * 100 = 95.31 % increase in volume
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