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?
1 answer:
Answer:
16units
Step-by-step 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
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