Question

What is the height of the cone?

Answer 1

it is the inches milimeters meters

Answer 2

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!!