Cups A and B are cone shaped and have heights of 28 cm and 23 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
Mar 8, 2016

cup A will overflow.

Explanation:

Volume (V) of cone = 1/3pir^2h
where h represents height and r , the radius.

V_A = 1/3pixx6^2xx28 = 336pi ≈ 1055.575 " cubic cm "

and V_B = 1/3pixx12^2xx23 = 1104pi ≈ 3468.318 " cubic cm "

since V_B > V_A " cup A will overflow "