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Deepak Bora
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A container, open at the top, is in the form of a frustum of a cone of height 24 cm with radii of its lower and upper circular ends as 8 cm and 20 cm, respectively. Find the cost of milk which can completely fill the container at the rate of 21 per liter.

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This is one of the important question from the cbse board exam point of view because in 2014  cbse board exam this question was asked. Question number 4 from RS Aggarwal book page number 823, exercise 17C, chapter volume and surface area of solid.

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  1. given data,

    Height, h=24 cm,

    Upper radius, R=20 cm

    Lower radius, r=8 cm

    Volume of the container = [1/3] π h [R²+r²+rR]

    =[1/3]×[22/7]×24×[20²+8²+[20×8]]

    =1767×400+64+160

    =1767×624

    =109.8247 L

    1000 cm³=1 L

    ∴ the cost of the milk in the container=109.8247×21

    =329.472

    ∴ the cost of milk which can completely fill the container at the rate of Rs. 21 per litre is 329.472 

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