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What is the height of the cone?

What is the height of the cone?-example-1

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3 votes

Answer:

it is the inches milimeters meters

User Andy Nguyen
by
7.8k points
5 votes

Answer:

9 cm

Explanation:

Given,

Volume of cone ( v ) = 27 π

Radius ( r ) = 3 cm

Height of cone ( h ) = ?

Now, let's find the height of cone:

Volume of cone =
\frac{\pi {r}^(2)h }{3}

plug the values


27\pi = \frac{\pi \: {3}^(2) \: h \: }{3}

Evaluate the power


27\pi = (\pi * 9 * h)/(3)

Divide 9 by 3


27\pi = 3\pi \: h

Divide both sides of the equation by 3π


(27\pi)/(3\pi) = (3\pi \: h)/(3\pi)

Calculate


9 = h

Swipe the sides of the equation


h = 9 cm

Hope this helps..

Best regards!!

User Kahil
by
8.1k points

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