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?

1 Answer
Nov 5, 2016

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.