Question

Cups A and B are cone shaped and have heights of `32 cm` and `24 cm` and openings with radii of `12 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

`=10.67`cm

Explanation:

Total volume of cup `B=pir^2h=pi(8)^2(24)`
So we have to find `H=?` the height in Cup `A` which will have content of same volume as volume of Cup`B`
`pi(12)^2(H)=pi(8)^2(24)`
or
`H=(8^2/12^2)(24)=10.67`