Question

Cups A and B are cone shaped and have heights of `24 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

`(Cup A )`will overflow

Explanation:

Volume of Cup `A=pir^2(h/3)` where `r=5 cm` and `h=24 cm`
`=pi(5^2)(24/3)=200pi`
Volume of Cup `B=pir^2(h/3)` where `r=8 cm` and `h=15 cm`
`=pi(8^2)(15/3)=320pi`
Since volume of `B` is more than volume of `A` it `(Cup A )`will overflow