# 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:** V_{cone} = 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 × r^{2}

Thus, the formula is V_{cone} = 1/3 × pi × r^{2} × h

Use pi = 3.14

## DEMONSTARTION 1:

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

V_{cone} = 1/3 × 3.14 × 2^{2} × 3

V_{cone} = 1/3 × 3.14 × 4 × 3

V_{cone} = 1/3 × 3.14 × 12

V_{cone} = 1/3 × 37.68

V_{cone} = 1/3 × 37.68/1

V_{cone} = (1 × 37.68)/(3 × 1)

V_{cone} = 37.68/3

V_{cone} = 12.56 cm^{3}

## DEMONSTARTION 2:

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

**Solution:**

Volume