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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

2 Answers

2 votes

Answer:

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

User Sheli
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4 votes

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

User Eyebrowsoffire
by
9.1k points

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