Mensuration of Solid Shapes (II)

Mathematics SSS 1 Second Term

WEEK 7

Mensuration of Solid Shapes (II)

Performance Objectives

Students should be able to;

1. Explain the relationship between the sector of a circle and a cone
2. Fine the surface area and volume of a cone, cuboid and cylinder
3. Calculate the volumes of cube, cuboid and cylinder

Relationship between the sector of a circle and the surface area of a cone

Content

If a sector of a circle AOB is cut and folded into a come as shown in the diagram below

The arc AB becomes the circumference of the base of the cone. The radius R becomes the slant edge l of the cone.

∴ Arc AB = 2πr

From the above diagram.

The area…