Question

Cups A and B are cone shaped and have heights of `32 cm` and `15 cm` and openings with radii of `5 cm` and `8 cm`, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

Answer 1

Volume of Cup A is not greater than Volume of Cup B. Yes Cup A will overflow if you pour all liquid content of Cup B

Explanation:

Volume of a cone can be computed by `V=pi*r^2*h`

r should be taken as average radius which is half of radii on open side.

Now V cone A is 628.32 cubic centimeter
and V cone B is 753.98 cubic centimeter.

If you empty cone B to cone A, all the liquid will be in cone A and 128.66 cubic centimeter of liquid will overflow from cup A.