Question

Cups A and B are cone shaped and have heights of `38 cm` and `25 cm` and openings with radii of `12 cm` and `16 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=12 cm` and `h=38 cm`
`=pi(12^2)(38/3)=1824pi`
Volume of Cup `B=pir^2(h/3)` where `r=16 cm` and `h=25 cm`
`=pi(16^2)(25/3)=2133.34pi`
Since volume of `B` is more than volume of `A`
(`Cup A`) will overflow