Question 1180753
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V = (pi)(r^2)(h)<br>
The diameter is increased by 15%, so the radius is increased by 15%.<br>
Represent the increase of 15% as multiplication by a factor of 100%+15%=115%=1.15.<br><pre>
{{{V(large)/V(small)=((pi)((1.15r)^2)(h))/((pi)(r^2)(h)) = 1.15^2/1 = 1.3225}}}<br></pre>
The volume of the larger can is 1.3225 times the volume of the smaller; that is an increase of (0.3225*100)=32.25%.<br>
ANSWER (to the nearest percent): 32%<br>