Question

The volume of a cone with circular base is 216πcmcube. If the base radius is 9 cm,then find the height of the cone.

Answer 1

volume of a cone = 1/3* π* r^2* h

its given,
volume = 216π  --------------1
radius= 9 -------------2

substitute 1 and 2 in the formula,we get

216π = 1/3 π * 9 * 9
π gets cancelled.

216 = 1/3 * 81 * h
h= 216 *3 * 1/81
h = 648 / 81
h= 8 cm//

height of the cone = 8cm

Answer 2

with formula of volume of a cone
=1/3π r^2 h
we are given ,

V = 216π  
radius= 9

 volume and radius in the formula ,

216π = 1/3 π * 9 * 9

216 = 1/3 * 81 * h

216 *3 * 1/81=h

648 / 81=h

8 cm  = h

thus ,
height of the cone = 8cm

hope it helps!!!