Question:
the cylinder has a diameter 200cm. its curved surface area is 88000cm2. find the volume of the cylinder(in m3).
Answer:
The curved surface area (CSA) of a cylinder of radius r and height h is given as
CSA = 2πrh
=> 2πh * 100 = 88000 (r = 200/2 = 100 cm)
=> πh * 200 = 88000
=> πh = 88000/200
=> πh = 440
=> h = 440/π
=> h = 440/(22/7)
=> h = (440 * 7)/22
=> h = 20*7
=> h = 140 cm
Now, volume of cylinder = πr2 h
= (22/7) * (100)2 * 140
= 22 * 100 * 100 * 20
= 4400000 cm3
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