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 and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?
The tin can will be cuboidal in shape while the plastic cylinder will be cylindrical in shape.
Length (l) of tin can = 5 cm
Breadth (b) of tin can = 4 cm
Height (h) of tin can = 15 cm
Capacity of tin can = l × b × h
= (5 × 4 × 15) cm3
= 300 cm3
Radius (r) of circular end of plastic cylinder = (7/2)cm = 3.5 cm
Height (H) of plastic cylinder = 10 cm
Capacity of plastic cylinder = πr2H
= (11 x 35) cm3
= 385 cm3
Therefore, plastic cylinder has the greater capacity.
Difference in capacity = (385 − 300) cm3 = 85 cm3
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