Cups A and B are cone shaped and have heights of 27cm and 24cm and openings with radii of 7cm and 9cm, 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
Feb 6, 2018

See a solution process below:

Explanation:

The formula for the volume of a cone is:

V=πr2h3

The Volume of cup A is:

Va=π×(7cm)2×27cm3

Va=π×49cm2×9cm

Va=π×441cm3

Va=441cm3π

The Volume of cup B is:

Va=π×(9cm)2×24cm3

Va=π×81cm2×8cm

Va=π×648cm3

Va=648cm3π

If a full Cup B is poured into an empty Cup A, then Cup A will overflow