Multiple choice

The volume of a particular cylinder is x cubic inches. If the height of the cylinder is tripled while the radius of the cylinder remains the same, what will the new volume of the cylinder be in terms of x?

  1. 2x

  2. 3x

  3. 4x

  4. 5x
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The volume of a cylinder is V = pi * r^2 * h. If the new height h' = 3h and the radius r remains the same, the new volume V' = pi * r^2 * (3h) = 3 * (pi * r^2 * h) = 3x.

AI explanation

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. Since the original volume is x, we have x = πr^2h. When the height is tripled while the radius remains the same, the new volume becomes πr^2(3h). By substituting the original volume into the equation, the new volume is simply 3 times x, or 3x.

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