A cylinder is not a prism, since not all its edges are straight lines. However, cylinders are like prisms in that they have a uniform cross-section, the only difference being a cylinder has a curved surface.
A cylinder has two end faces and its cross-section is identical to either of its faces. Its height, h, is measured at right angles to the base of the cylinder.
The volume of a cylinder is equal to the area of the base multiplied by its height. The base of the cylinder is a circle, so area of its base is given by the area of a circle, viz. A = .
So the volume of a cylinder, V is given by the formula –
Now let us look at a few examples to calculate the volume of a cylinder.
Find the volumes of the following cylinders, correct to 1 decimal place.
1. V =
= 2310 cm3
= 339.10 cm3
= (since r = 2.3 mm)
= 166.2 mm3