Volume of a cone

Given the radius and h, the volume of a cone can be found by using the formula:

Formula: Vcone = 1/3 × b × h

Cone image
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


Example #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


Example #2:

Calculate the volume if r = 4 cm and h = 2 cm

Vcone = 1/3 × 3.14 × 42 × 2

Vcone = 1/3 × 3.14 × 16 × 2

Vcone = 1/3 × 3.14 × 32

Vcone = 1/3 × 100.48

Vcone = 1/3 × 100.48/1

Vcone = (1 × 100.48)/(3 × 1)

Vcone = 100.48/3

Vcone = 33.49 cm3


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