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 a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

Solution:

Since the tin can is cuboidal in shape while the other is cylindrical, we will find the volume of both containers.

The volume of a cylinder of base radius, r, and height, h = πr²h

The volume of a cuboid of length ' l ', breadth ' b', and height ' h ' = l × b × h

Dimensions of tin can with a rectangular base are:

Length of the cuboidal tin can, l = 5cm

The breadth of the cuboidal tin can, b = 4cm

Height of the cuboidal tin can, h = 15cm

The volume of the cuboidal tin can = l × b × h

= 5 cm × 4 cm × 15 cm

= 300 cm³

Dimensions of the plastic cylinder with a circular base are:

The diameter of the cylindrical plastic can = 7 cm

The radius of the cylindrical plastic can, r = 7/2 cm

Height of the cylindrical plastic can, h = 10cm

The volume of the cylindrical plastic can = πr² h

= 22/7 × 7/2 cm × 7/2 cm × 10cm

= 385 cm³

Clearly, the plastic cylinder with a circular base has greater capacity than the tin container.

Difference = 385 cm³ - 300 cm³ = 85 cm³

The plastic cylindrical has more capacity than the tin can by 85 cm³.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

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Video Solution:

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 a circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.6 Question 3

Summary:

For a soft drink is available in two packs a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and a plastic cylinder with a circular base of diameter 7 cm and height 10 cm, we have found that the plastic cylindrical container has more capacity than the tin can by 85 cm³.

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