The cylinder and the cone have a common base and common height. Calculate the volume
May 27, 2021 | education
| The cylinder and the cone have a common base and common height. Calculate the volume of the cylinder if the volume of the cone is 84.
We use the formula for the volume of a cone.
Vfin = Sbn * h / 3 = n * OA ^ 2 * OO1 / 3 = 84 cm3.
P * OA ^ 2 * OO1 = 3 * 84 = 256 cm3.
We use the formula for the volume of a cylinder.
Vcyl = Sosn * h = n * OA ^ 2 * OO1.
Then, n * OA ^ 2 * OO1 = 256 cm3 = Vcyl.
Answer: The volume of the cylinder is 256 cm3.
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