Question

So, I had assumed that this one was going to have the answer of 36...just out of pure guessing. I got that wrong so now I'm curious as to how I would go a bout solving it.

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).

Answer 1

Lets write formulas for volume of both cone and can

Cone:
Vc = Bc*Hc/3

Can:
V = B*H

where B is basis and H is height for each

Now because cone fits perfectly inside can that means that both B and H are the same
from this we can see that cone has 3 times less volume than a can that cone is inside of.

if can has 36 volume that means that cone has:
36/3 = 12 volume

Answer is 12.