Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can?

Question

hoblos · Answer

do you know the formula of the volume of a cylinder ?

anonymous · Answer

Yes, but I don't know how to figure THIS out

hoblos · Answer

first you have to find the dimensions of the can,
you have the diameter of the can is 6, so the radius is 3
and the volume is 21

can you calculate the height from these ?

anonymous · Answer

I sure you can, but I don't really know how.

hoblos · Answer

$$V = h \pi r^2$$

h= ?

hoblos · Answer

it's correct

now do you know the formula of volume for a cone ? what is it ?

anonymous · Answer

is it 6.97?

anonymous · Answer

$$V=r^{2}\frac{ h }{ 3 }$$

hoblos · Answer

correct! 
but this answer is approximate since you didn't take the whole value of the height,
if you take the whole number it would be exactly 7

anonymous · Answer

Hello? Are you there?

hoblos · Answer

yeah i'm here

anonymous · Answer

To make things easier on you the volume of a cone will be equal to 1/3 of a cylinder that has the same height and diameter