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

univerkov | September 12, 2021 | education

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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