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40 votes
40 votes
What is the missing height?

What is the missing height?-example-1
User Nick Chammas
by
3.1k points

2 Answers

12 votes
12 votes

Answer:

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

User Mamba
by
3.2k points
14 votes
14 votes

Answer:

h = 6.36619772 cm

Explanation:

h = (3 * v) / (πr2)

User Dstftw
by
2.8k points