What is the height of the cone?

Question

asked May 7, 2021 25.7k views

2 Answers

Kahil · Answer 1 · 2021-05-12T06:22:39+0000

Answer:

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!!