Question

Cups A and B are cone shaped and have heights of `38 cm` and `24 cm` and openings with radii of `12 cm` and `18 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

Below

Explanation:

Cup A
`Volume = 1/3pir^2h`
`V=1/3pi(12)^2(38)`
`V=1824pi`

Cup B
`Volume=1/3pir^2h`
`V=1/3pi(18)^2(24)`
`V=2592pi`

Therefore, since the volume of Cup A is less than the volume of Cup B, then Cup A will overflow.