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A cone has a volume of 108π and a base diameter of 12. What is the height of the cone?
JMAP geometry math cone
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A cone has a volume of 108π and a base diameter of 12. What is the height of the cone?

1) 27

2) 9

3) 3

4) 4

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judziy
Asked by judziyrep:909
University of Benin Nigeria
23 June 2020

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1 answer(s)

peter
Peter answeredrep:938
University of Lagos Nigeria
12 August 2020
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Volume of a cone, V = 1/3 πr2h

where r is the radius and h is the height

radius = daimeter/2

radius = 12/2 = 6

108π = 1/3 π(6)2h

108π = 1/3 π(36)h

Multiply both sides by 3

324π = π(36)h

Divide both sides by 36π

h = 324π / 36π

h = 9

Ans 2

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