Q11 of 20 Page 225

The curved surface area of the cylinder is 1760 cm.2 and its volume is 12320 cm3. Find its height.

Given, curved surface area = 1760cm2

Volume = 12320cm3


For finding the height of the cylinder,


curved surface area = 1760cm2


2πrh = 1760


rh =


rh = 280.25 --------(i)


volume = 12320cm3


πr2h = 12320cm3


r × rh =


r =


from equation (i), r =


r = 14cm


hence, rh = 280.25


h =


h = 20cm


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