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Question
The curved surface area of a cylinder is 1320 cm2 and its base has diameter 21 cm. Find the volume of the cylinder.
Solution
r cm = Radius of the cylinder
h cm = Height of the cylinder
Diameter of the cylinder is 21 cm. Thus, the radius is 10.5 cm.
Since the curved surface area has been known, we can calculate h by the equation given below:
The curved surface area of the cylinder = 2πrh
1320 cm2= 2πrh
1320 cm2= 2 x 22 x (10.5 cm) x h
7
h = 20 cm
∴ Volume of the cylinder (V) = πr2h
V = 22(10.5 cm)2(20 cm)
7
V = 6930 cm3
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