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General
Easy

Question

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

  1. 7m
  2. 6m
  3. 8m
  4. 8m

hintHint:

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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