ACT Math Practice Question #1428 (Hard (33)) | Test Citadel
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ACT Math Difficulty: Hard (33)

Digital ACT Math Practice Question #1428

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Two similar solid cones have surface areas of 36pi square centimeters and 81pi square centimeters, respectively. If the volume of the smaller cone is 48 cubic centimeters, what is the volume of the larger cone, in cubic centimeters?
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V_large = 48 * (3/2)^3 = 48 * (27/8) = 162.

Masterclass Solution & Distractor Trap Analysis

Area ratio = 36/81 = 4/9 -> Linear ratio = 2/3 -> Volume ratio = 8/27. V = 48 * (27/8) = 6 * 27 = 162....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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