
Example: The diameter of a copper sphere is 6 cm. It is beaten and drawn into a wire of a diameter 0.4 cm. Find the length of the wire. Solution: Diameter of the sphere = 6 cm. Therefore the radius of the sphere = 6/2 = 3 cm. Volume of the sphere = 4/3 * 22/7 * 3 * 3 * 3 cu. cm. The sphere is beaten and drawn into a wire, the wire is a cylinder of diameter 0.4. Length 'l' is to be calculated, Area of the base of the cylinder = pi * r^{2} = 22/7 * 0.2 * 0.2 Sq. cm. Volume of the wire = pi * r^{2} * l = 22/7 * 0.2 * 0.2 * l Therefore, 22/7 * 0.2 * 0.2 * l = 4/3 * 22/7 * 3 * 3 * 3 Therefore, l = 4/3 * 22/7 * 3 * 3 * 3 * 7/22 * 1/0.04 l = 36 * 1/0.04 l = 900 cm. Directions: Solve the following problems. Also write at least 5 examples of your own. 