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Question

# A soft drink is available in two packs− (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm (ii) a plastic cylinder with a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much? [Assume π=227]

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Solution

## The tin can will be cuboidal in shape while the plastic cylinder will be cylindrical in shape. Length (l) of the tin can = 5 cm Breadth (b) of the tin can = 4 cm Height (h) of the tin can = 15 cm Capacity of the tin can =l×b×h=(5×4×15)cm3 =300 cm3 Radius (r) of the circular end of plastic cylinder =(72)cm=3.5 cm Height (H) of the plastic cylinder = 10 cm Capacity of the plastic cylinder =πr2H =[227×(3.5)2×10]cm3=(11×35)cm3=385 cm3 Therefore, plastic cylinder has the greater capacity. Difference in the capacity =(385−300)cm3=85 cm3

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