Q3 of 48 Page 267

A cylindrical tank of diameter 3 m and height 7 m is completely filled with groundnut oil. It is to be emptied in 15 tins each of capacity 15 litres. Find the number of such tins required.

Given.


Cylindrical tank of diameter 3 m and height 7 m


Tins of capacity 15 litres


Formula used/Theory.


Volume of cylinder = πr2h


1 m3 = 1000 litres


Volume of cylinder tank = πr2h


Radius of tank = = 1.5 m


⇒ Volume of cylinder = × (1.5 m) 2 × 7 m


= 22 × 2.25 m3


= 49.5 m3


If 1 m3 = 1000 litres


Then 49.5 m3 = 49.5 × 1000 litres


= 49500 litres


Volume of 1 tin = 15 litres


Number of tins is dividing volume of cylindrical tank by volume of tins


⇒ Number of tins = = 3300 tins


∴ 3300 tins required to empty the tank


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