Cups A and B are cone shaped and have heights of 35 cm35cm and 29 cm29cm and openings with radii of 14 cm14cm and 9 cm9cm, 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 5, 2016

V = 1/3 * pi * r^2 * hV=13πr2h 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_aVA=13πr2Aha
V_B = 1/3 * pi * r_B^2 * h_bVB=13πr2Bhb
V_B = 1/3 * pi * r_A^2 * h_aVB=13πr2Aha Solve for h_aha

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