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 × r
^{2}
Thus, the formula is V
_{cone} = 1/3 × pi × r
^{2} × h
Use pi = 3.14
Example #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}
Example #2:
Calculate the volume if r = 4 cm and h = 2 cm
V
_{cone} = 1/3 × 3.14 × 4
^{2} × 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 cm
^{3}
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