Volume Of A Cone

 

The volume of a right cone is equal to one-third the product of the area of the base and the height.

Formula: Vcone = 1/3 × b × h

b is the area of the base of the cone. Since the base is a circle, area of the base = pi × r2

Thus, the formula is Vcone = 1/3 × pi × r2 × h

Use pi = 3.14

DEMONSTARTION 1:

Calculate the volume if r = 2 cm and h = 3 cm

Vcone = 1/3 × 3.14 × 22 × 3

Vcone = 1/3 × 3.14 × 4 × 3

Vcone = 1/3 × 3.14 × 12

Vcone = 1/3 × 37.68 

Vcone = 1/3 × 37.68/1

Vcone = (1 × 37.68)/(3 × 1)

Vcone = 37.68/3 

Vcone = 12.56 cm3 

DEMONSTARTION 2:

Calculate the volume of a cone if the height is 12 cm and the radius is 7 cm.

Solution:

Volume