Cups A and B are cone shaped and have heights of #29 cm# and #28 cm# and openings with radii of #7 cm# and #11 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 27, 2016
overflow
Explanation:
Require to calculate the volume of both cones using
# V = 1/3pir^2h , " h is height and " r ," the radius" #
#V_A = 1/3 xxpixx7^2xx29 ≈ 1488.07" cubic cm " #
# V_B = 1/3xxpixx11^2xx28 ≈ 3547.905" cubic cm " # Since
#V_B > V_A " cup A will overflow " #
