Question

The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?

Answer 1

16units

Explanation:

Given data

The expression for the volume of a cone is given as

v=1/3πr^2h

v= 3π

r= 12

h=???

Substitute

3π= 1/3*π*12^2*h

3= 1/3*144*h

3= 144h/3

cross multiply

3*3= 144h

9= 144h

h= 144/9

h=16 units

Hence the heeight is 16units