The volume of a cylinder is 24 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

Question

anonymous · Answer

@TuringTest

anonymous · Answer

The volume of a cylinder is 24 cubic feet. What is the volume of a cone that fits exactly inside the cylinder? Provide an explanation and proof for your answer to receive full credit.

anonymous · Answer

This what I have so far am I doing it right??

turingtest · Answer

firstly, please post the actual question in the box so that people know if they can help you without clicking your question.

anonymous · Answer

volume of a cylinder = pi*r^2*h
volume of cone = 1/3*pi*r^2*h
same radius and height means same r and h
given volume of cylinder = 24
so volume of cone = 1/3*24 = 8

turingtest · Answer

looks good

turingtest · Answer

i would have added one line to make it more formal:
volume of a cylinder = pi*r^2*h
volume of cone = 1/3*pi*r^2*h
same radius and height means same r and h
given volume of cylinder = 24
so volume of cone = 1/3*(volume of cylinder) = 24/3 = 8
                                           ^^^^^^^^

anonymous · Answer

ok good can you help me explain it?

turingtest · Answer

i think that's a pretty good explanation... you want it in a more 'Englishy' format?

anonymous · Answer

yea thats what I want

turingtest · Answer

i guess something like...
the formula for the volume of a cylinder depends only on height and radius, and differs from that for a cone by a factor of 1/3. hence if the height and radius are the same between them, the volume of the cone is 1/3 that of the cylinder

turingtest · Answer

i like your explanation better, but oh well

anonymous · Answer

Thanks I do to :)