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Question

The curved surface area of a cylinder is 4400 cm2 and the circumference of its base is 10 cm. Find the height and the volume of the cylinder.


Solution

Suppose that the radius is r cm and the height is h cm.
Here, curved surface area = 4400 cm2; circumference = 10 cm

Then 2πrh=4400; 2πr = 110i.e., 110×h=4400h=4400÷110=40 cmAlso, 2×227×r=110r =110×72×22=5×72=352cm

 Volume of the cylinder=πr2h                                            =227×352×352×40                                           =22×35×5×10=38500 cm3

Mathematics
RS Aggarwal (2017)
Standard IX

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