Question 1184202
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A classical mathematical solution....<br>
{{{V=k((h)(r^2))}}}<br>
(1) Plug in the given values V=33.5, h=8, r=2 and solve for k.
(2) Use that value of k with the new values of h and r to find the new V.<br>
That's simple enough; I leave it to you.<br>
A common sense solution....<br>
The height is changed by a factor of 6/8 = 3/4; that changes the volume by a factor of 3/4.
The radius is changed by a factor of 4/2 = 2; that changes the volume by a factor of 2^2 = 4.<br>
The volume of the second cone is<br>
{{{(33.5)(3/4)(4)=100.5}}}<br>
ANSWER: 100.5 cubic cm<br>