SOLUTION: The volume of a cone varies jointly as its height and the square of the radius of its base. The radius of a cone is 4 cm when height is 6 cm and the volume is 32picm3. Find the vol

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Question 1174023: The volume of a cone varies jointly as its height and the square of the radius of its base. The radius of a cone is 4 cm when height is 6 cm and the volume is 32picm3. Find the volume of a cone whose radius is 4 cm and height is 8 cm.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Hello, 

    in Geometry, there is an EXPLICIT formula for the cone volume.


    This formula is known to everybody, who is familiar with this combination of words "volume of a cone".


    It is  V = %281%2F3%29%2Api%2Ar%5E2%2Ah,


    where r is the radius of the cone base and h is its height, pi = 3.14.

So,  substitute the given data into the formula and calculate.


Happy calculations  (!)