Question

What is the missing height?

Answer 1

h = 20 cm

Explanation:

the volume (V) of a cone is calculated as

V =
`(1)/(3)` πr²h ( where r is the radius )

given r = 9 and V = 540π , then

`(1)/(3)` π × 9² × h = 540π

`(1)/(3)` × π × 81h = 540π

27πh = 540π ( divide both sides by 27π )

h =
`(540\pi )/(27\pi )` = 20 cm

Answer 2

h = 6.36619772 cm

Explanation:

h = (3 * v) / (πr2)