Question

how to find the height of a cone if the radius is 5 and the volume is 75pi cm3

Answer 1

volume=1/3 *πr^2h
75π=1/3*π5^2 *h
h=(75×3)/25
h=9 cm

Answer 2

We know that volume of a cone = 1 / 3 × pi × r ^2 × h
If v = 75 pi and r = 5

We equate, and

75 pi = 1/3 pi × 5 × 5 × h
 (75 × 3 ) / 25 = h ( PI GETS CANCELLED AND CROSS MULTIPLICATION)
 3 × 3 = h

Therfore h = 9 cm

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