A soft drink is available in two packs:(i) a tin can with a rectangula

1.	A soft drink is available in two packs:(i) a tin can with a rectangular base of length 5cm, breadth 4cm and height 15cm, and(ii) a plastic cylinder with circular base of diameter 7cm and height 10cm.Which container has greater capacity and by how much?
Answer» (i) The dimensions for a tin can with a rectangular base is Length = 5cm Breadth = 4cm Height = 15cm We know that Volume of tin can = l × b × h By substituting the values Volume of tin can = 5 × 4 × 15 So we get Volume of tin can = 300 cm³ (ii) The dimensions for cylinder with circular base Diameter = 7cm We know that radius = 7/2 = 3.5 cm Height = 10cm We know that Volume of cylinder = πr²h By substituting the values Volume of cylinder = (22/7) × (3.5)² × 10 So we get Volume of cylinder = 385 cm³ We know that the volume of plastic cylinder is greater than volume of tin can So difference in volume = 385 – 300 = 85 cm³ Therefore, a plastic cylinder has greater capacity than a tin can by 85 cm³.

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

Answer»

(i) The dimensions for a tin can with a rectangular base is

Length = 5cm

Breadth = 4cm

Height = 15cm

We know that

Volume of tin can = l × b × h

By substituting the values

Volume of tin can = 5 × 4 × 15

So we get

Volume of tin can = 300 cm³

(ii) The dimensions for cylinder with circular base

Diameter = 7cm

We know that radius = 7/2 = 3.5 cm

Height = 10cm

We know that

Volume of cylinder = πr²h

By substituting the values

Volume of cylinder = (22/7) × (3.5)² × 10

So we get

Volume of cylinder = 385 cm³

We know that the volume of plastic cylinder is greater than volume of tin can

So difference in volume = 385 – 300 = 85 cm³

Therefore, a plastic cylinder has greater capacity than a tin can by 85 cm³.