Q6 of 75 Page 230

The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

Let the radius of the circular end be r

Volume of cylindrical vessel = 15.4 litres = 0.0154m3


� r2h = 0.0154 m3


( * r * r * 1) m = 0.0154 m3


r = 0.07 m


TSA of vessel = 2πr (r + h)


= 2 * * 0.07 (0.07 + 1)


= 0.44 * 1.07


= 0.4708 m2


Height (h) of cylindrical vessel = 1 m


Therefore, the metal sheet would be required to make the cylindrical vessel is 0.4708 m2


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