Question

Cups A and B are cone shaped and have heights of `22 cm` and `25 cm` and openings with radii of `6 cm` and `12 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

here the cup A will overflow.

Explanation:

here the two cups are of conical shapes.
we know the volume of a cone =`(1/3)pir^2h` where, r=radius of the circular base of the cone & h =height of the cone.
now the volume of the cone A=`(1/3)pi(6)^2(22)`=`264pi`
& the volume of the cone B=`(1/3)pi(12)^2(25)`=`1200pi`
since the volume of the cup B is greater than cup A,when it's contents are poured into cup A,cup A will overflow.