Question

Cups A and B are cone shaped and have heights of `24 cm` and `28 cm` and openings with radii of `8 cm` and `11 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=8 cm` and `h=24 cm`
`=pi(8^2)(24/3)=512pi`
Volume of Cup `B=pir^2(h/3)` where `r=11 cm` and `h=28 cm`
`=pi(11^2)(28/3)=1129.33pi`
Since volume of `B` is more than volume of `A` it (Cup `A`) will overflow