# A milk container is made of metal sheet in the shape of frustum of a cone whose volume is . The radii of its lower and upper circular ends are 8 cm and 20 cm respectively. Find the cost of metal sheet used in making the container at the rate of Rs. 1.40 per .

Given: volume of the frustum = 10459 cm3

Radii of lower and upper ends resp.: r’ = 8cm and r’’ = 20cm

Volume =

h = 16cm

Let slant height be l

Slant height, l =

l = 20cm

Total surface area of the frustum = π(r’ + r’’)l + π r’2 + π r’’2

= π(20 + 8)20 + π (20)2 + π (8)2

= 3218.29 cm2

cost of metal sheet used in making the container at the rate of Rs. 1.40 per = 3218.28 × 1.40

= Rs4506

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