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

yttrium · Answer

Just be reminded that volume of cone is 1/3 of the volume of a cylinder. You learned something now?

directrix · Answer

Well, the radius of the cone would have to be 3. More importantly, the base of the cone would have to be congruent to the base of the cylindrical soda can.

directrix · Answer

Cylinder's volume = Bh where B is the area of the circular base.
Cones's volume = (1/3) Bh where B is the same are the B in the cylinder formula and h is the height of both the cylinder and the cone.

So, as stated above by @Yttrium then the volume of the cone is 1/3 the volume of the soda can. 

So, what is 1/3 of 21?   @lowcard2

anonymous · Answer

7?

directrix · Answer

That is what I am thinking.

yttrium · Answer

Yes.