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
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.