Cups A and B are cone shaped and have heights of 35 cm and 29 cm and openings with radii of 14 cm and 9 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
SCooke
Mar 5, 2016

V = 1/3 * pi * r^2 * h Calculate the two volumes. If B is greater than A, it will overflow. If it is less, use the volume calculated to find the equivalent height of A.

Explanation:

V_A = 1/3 * pi * r_A^2 * h_a
V_B = 1/3 * pi * r_B^2 * h_b
V_B = 1/3 * pi * r_A^2 * h_a Solve for h_a

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