Contents

Parts of Circle

Area of Circle

Area of Sector & Length of Arc

Area of Triangle 

Volume of Cylinder

Surface Area of Cylinder

Volume of Cones & Pyramids

Surface Area of Cones & Pyramids

Volume of Sphere

Surface Area of Sphere

Quiz

Geometry Main Page

Volume of Cylinder & Prism

The base area of a prism can be cut and rearranged to form a rectangle as shown below. We see that the prism can be cut and rearranged to form a cuboid. Therefore, the volume of the prism is equal to the volume of the cuboid formed.

A cylinder can be divided into many parts and rearranged to form a cuboid as shown. It is reasonable to assume that the volume of cylinder = base area x height

Thus, the formula for volume of prism or cylinder is given by

V = area of base x height

Example 1

The volume of a cylinder is 770cm². It has a height of 5cm. Find its radius. (Take p = 22/7)

Vol. = base area x height

Example 2

 

Find the volume of the prism shown on the right.

 

Base area = 3 x 2 + 1 x 2

                  = 8cm²

Vol. = 8 x 10

      = 80cm³