The volume of this cone is 540 pi. Work out the height,h, of the cone radius is 9 vol=1/3pir^2h curved surface area =pir*l

Question

asked Nov 5, 2021 34.5k views

2 Answers

Nurchi · Answer 1 · 2021-11-09T21:22:26+0000

Answer:

20

Explanation:

The volume of a cone is given as:

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

where r = radius

h = height

The volume of the cone is 540π and its radius is 9.

This implies that:

$540 \pi = (1)/(3) \pi * 9^2 * h\\\\h = (540 * 3)/(81) \\\\h = 20$

The height of the cone is 20.