The volume of a cone is 27 cm3 . What is the volume of a cylinder that shares the same radius and height as the cone

1 answer

The volume of a cone is given by the formula Vcone = (1/3)πr²h, where r is the radius and h is the height.

Given that the volume of the cone is 27 cm³, we can rearrange the formula to solve for the radius and height of the cone using the given volume.

27 cm³ = (1/3)πr²h

By multiplication,

81 cm³ = πr²h

Since the cylinder has the same radius and height as the cone, the volume of the cylinder can be calculated using the formula Vcylinder = πr²h.

Therefore, the volume of the cylinder would also be 81 cm³.
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