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?
To find the volume of the cylinder, we first need to calculate the radius and height of the cone.
The volume of a cone is given by the formula:
V_cone = (1/3) * π * r^2 * h
Given that the volume of the cone is 27 cm3, we have:
27 = (1/3) * π * r^2 * h
Since the cone and the cylinder have the same radius and height, the volume of the cylinder can be calculated using the formula for the volume of a cylinder:
V_cylinder = π * r^2 * h
We can rewrite the volume of the cone in terms of the radius and height:
27 = (1/3) * V_cylinder
Multiplying both sides by 3:
81 = V_cylinder
Therefore, the volume of the cylinder is 81 cm3.