Question

A cylinder has a volume 78cm3 what is the volume of a cone with the same radius and heigh

Answer 1

Answer:

26 cm^3

Step-by-step explanation:

volume of cylinder = (pi)r^2h

volume of cone = (1/3)(pi)r^2h

Since (pi)r^2h = volume of cylinder, then you get

volume of cone = (1/3)(volume of cylinder) = (volume of cylinder)/3

The difference between the volume of a cylinder and the volume of a cone is that a cone with the same radius and height has 1/3 the volume of the cylinder.

If you know the volume of a cylinder, then the volume of a cone with the same radius and height is 1/3 the volume of the cylinder, or simply, divide the volume of the cylinder by 3.

volume of cylinder = 78 cm^3

volume of cone = (78 cm^3)/3 = 26 cm^3