Volume of a cone

Given the radius and h, the volume of a cone can be found by using the formula:
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 × r²

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

Use pi = 3.14


Example #1:

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

V_cone = 1/3 × 3.14 × 2² × 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 cm³


Example #2:

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

V_cone = 1/3 × 3.14 × 4² × 2

V_cone = 1/3 × 3.14 × 16 × 2

V_cone = 1/3 × 3.14 × 32

V_cone = 1/3 × 100.48

V_cone = 1/3 × 100.48/1

V_cone = (1 × 100.48)/(3 × 1)

V_cone = 100.48/3

V_cone = 33.49 cm³