Question

Find the volume of a cone with a base diameter of 9 yo and a height of 7yd. Write the exact volume in terms of pi

Answer 1

Explanation:

r= the radius of base

h=height

volume of cone=1/3*r^2*pi*h

1/3*(4.5)^2*pi*7

=1/3*81/4*7*pi

=567/12 pi

Answer 2

since it has a diameter of 9, that means its radius is half that, or 4.5.

`\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4.5\\ h=7 \end{cases}\implies V=\cfrac{\pi (4.5)^2(7)}{3}\implies V=47.25\pi`