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Ex 13.6, 3 - A soft drink is available in two packs - Volume Of Cylinder

  1. Chapter 13 Class 9 Surface Areas and Volumes
  2. Serial order wise
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Ex 13.6, 3 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? Tin Can Since Tin Can has a rectangular base, it is a cuboid, where Length = 5 cm Breadth = 4 cm Height = 15 cm Capacity of tin can = Volume of cuboid = Length × Breadth × Height = 5 × 4 × 15 cm3 = 300 cm3 Plastic cylinder Radius of cylinder = r = (𝐷𝑖𝑎𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 )/2 = 7/2 cm & height of cylinder = h = 10 cm Capacity of plastic cylinder = Volume of cylinder = πr2h = (22/7×7/2×7/2×10) cm = 385 cm3 Therefore, Capacity of plastic cylinder > Capacity of tin can Capacity of plastic cylinder – Capacity of tin can = 385 – 300 cm3 Thus, the plastic cylinder has greater capacity by 85 cm3

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