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
Rajat Chatterjee
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.

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