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Maths-

General

Easy

Question

A cone has a circular base of radius 6m and volume 84π m³. The height of cone is

7m
6m
8m
8m

hint Hint:

Volume of a cone = ( $1 third$ )πr2h

The correct answer is: 7m

We have given the dimensions of a cone
Radius , r = 6 m
Volume of cone = 84π m³
We have to find the height of the given cone
Let height of the cone be h
We know that
Volume of a cone = ( $1 third$ )πr²h
84π = ( $1 third$ ) π (6 x 6) (h)
Divide both sides of equation by π
84 = (2 x 6) (h)
84 = 12h)
h = $84 over 12$
h = 7 m
Therefore correct option is a) 7m

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