Chapter 11: Surface Areas and Volumes

11.1 Surface Area of a Sphere

A sphere is a three dimensional figure (solid figure), which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the centre.

SA = 4ฯ€rยฒ

Surface Area of Sphere

11.2 Hemisphere

A plane through the centre of the sphere divides the sphere into two equal parts, each of which is called a hemisphere.

CSA = 2ฯ€rยฒ

Curved Surface Area

TSA = 3ฯ€rยฒ

Total Surface Area

11.3 Right Circular Cone

CSA = ฯ€rl

Curved Surface Area (l = slant height)

Volume = โ…“ฯ€rยฒh

Volume of Cone