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:
V = (1/3)πr^2h
Given that the volume of the cone is 27 cm^3, we can set up the equation as follows:
27 = (1/3)πr^2h
We know that the cylinder has the same radius and height as the cone. Therefore, the volume of the cylinder can be calculated using the formula for the volume of a cylinder:
V_cylinder = πr^2h
Since r = r and h = h, the volume of the cylinder can be written as:
V_cylinder = (3)(27)
V_cylinder = 81 cm^3
Therefore, the volume of the cylinder that shares the same radius and height as the cone is 81 cm^3.