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 " #
