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Question:

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

Solution:

Given:
Length = 5cm [Tin can]
Breadth = 4cm
Height = 15cm
⇒ Capacity volume = l × b × h = 5 × 4 × 15 = 300cm³
⇒ Radius of cylinder = 7/2 = 3.5cm, H = 10cm
⇒ Capacity = πR²H = (22/7 × (3.5)² × 10)cm³ = 385cm³
⇒ Cylinder has more capacity by = (385 - 300)cm³ = 85cm³