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1315074630
1315074630 1315074630
  • 20-03-2017
  • Mathematics
Answered

The volume of a cone is 42 in3 and the cone’s base area is 9 in2.


What is the height of the cone?

Verified Answer :

jdoe0001 jdoe0001
  • 20-03-2017

check the picture below, notice the base of the cone is really just a circle

thus \(\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius\\ h=height\\ ----------\\ V=42\\ r=\sqrt{\frac{9}{\pi }} \end{cases}\\\\ -----------------------------\\\\ 42=\cfrac{\pi \left(\sqrt{ \frac{9}{\pi }} \right)^2h}{3}\)

solve for "h"

View image jdoe0001
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