The cylinder and cone share a common base and a common height. Calculate the volume of the cylinder

univerkov | July 8, 2021 | education

The cylinder and cone share a common base and a common height. Calculate the volume of the cylinder if the volume of the cone is 40.

We use the formula for the volume of a cone.

Vfin = Sbn * h / 3 = n * OA ^ 2 * OO1 / 3 = 40 cm3.

P * OA^2 * OO1 = 3 * 40 = 120 cm3.

We use the formula for the volume of a cylinder.

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

Then, n * OA ^ 2 * OO1 = 120 cm3 = Vcyl.

Answer: The volume of the cylinder is 120 cm3.

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