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the volume of a right cone is 27 π units^3. if its height is 9 units find its circumference in terms of π.

User MrAliB
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Given:

the volume of a right cone is 27 π units³

And the height of the cone = h = 9 units

First, we will find the radius of the base (r) using the formula of the volume.


V=(1)/(3)\pi r^2h

Substitute V = 27π and h = 9


27π=(1)/(3)πr^2(9)

Solve the equation to find (r)


\begin{gathered} r^2=(3*27)/(9)=9 \\ r=√(9)=3 \end{gathered}

Now, we will find the circumference using the following formula:


circumference=2πr

substitute r = 3


circumference=2π(3)=6π

So, the answer will be: Circumference = 6π units

User Adam Stacey
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