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Question -

A milk container of height 16 cm is made of metal sheet in the form of frustum of a cone with radii of its lower and upper ends as 8 cm and 20 cm respectively. Find the cost of milk at the rate of Rs.44 per litre which the container can hold.



Answer -

Given,

A milk container ofthe form of frustum of a cone

The radius of thelower end (r1) = 8 cm

The radius of theupper end (r2) = 20 cm

Let h be its height, h= 16 cm

Then, the capacity ofthe container = Volume of frustum of the cone

= 1/3 π(r22 +r12 + r1 r2 )h

= 1/3 π(202 +82 + (20) (8) ) x 16

= 10459.42 cm3

= 10.46 litres

Now, given that costof 1 litre of milk = Rs 44

Then the cost of 10.46litres of milk = Rs (44 x 10.46) = Rs 460.24

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