Multiple choice

The volume of right circular cylinder B is 36 cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with three times the radius and one-third the height of cylinder B?

  1. 36

  2. 72

  3. 108

  4. 144
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume V = pi * r^2 * h. New volume V' = pi * (3r)^2 * (h/3) = pi * 9r^2 * h/3 = 3 * (pi * r^2 * h) = 3 * V. Since V = 36, V' = 3 * 36 = 108.

AI explanation

The volume of a cylinder is found by the formula pi times radius squared times height, so the new cylinder's volume scales by the square of the radius multiplier times the height multiplier. The new radius is three times the original and the new height is one third of the original, making the volume multiplier three squared times one third. Multiplying this factor of 3 by the original volume of 36 cubic cm gives a new volume of 108 cubic cm.

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