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?

Answer 1

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.