Q6 of 35 Page 205

The picture shows the dimensions of a petrol tank.


How many litres of petrol can it hold?

The tank has two hemispherical parts and one cylindrical part

The yellow dashed line indicates the axis of the tank


From the fig., it is clear that radius of the hemisphere is 1 m.


So it's volume


Thus volume of two hemispheres


Height of a hemisphere will be equal to it's radius.


So length of the cylindrical part = [6 – (2×1)] = 4 m


Volume of cylinder = Vc = πr2h = π×12×4 = 4π m3


Thus total volume .


We know that 1 liter is the volume of a cube of edge 10 cm


Now, 16746666.67 cm3.


(∵ 1 m = 100 cm)


Thus the no. of liters = 16746666.67⁄1000 = 16746.67 liters


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Form a solid sphere of radius 10 centimetres, a cone of height 16 centimetres is carved out. What fraction of the volume of the sphere is the volume of the cone?

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