The cylinder and the cone have equal bases and the same heights, the V of the cone is 36cm ^ 2.

univerkov | February 19, 2021 | education

We use the cone volume formula.

Vfin = Sbn * h / 3 = n * OA ^ 2 * OO1 / 3 = 36 cm3.

n * OA ^ 2 * OO1 = 3 * 36 = 72 cm3.

We use the formula for the volume of a cylinder.

Vcyl = Sosn * h = n * OA ^ 2 * OO1.

Then, n * OA ^ 2 * OO1 = 72 cm3 = Vcyl.

Answer: The volume of the cylinder is 72 cm3.

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