How many times should the height of the cylinder be increased without changing the base to double the volume?

Let’s denote the volume of the original cylinder through V1, and the volume of the new cylinder through V2.

By condition, V2 / V1 = 2.

The volume of the cylinder is equal to: Vcyl = Sosn * h.

Since the area of the base for both cylinders, by condition, does not change, then S1base = S2base, then:

V2 | V1 = S2base * h2 / S1base * h1 = 2.

h2 / h1 = 2.

h2 = 2 * h1.

Answer: The height of the second cylinder needs to be doubled.

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