# NCERT Class 9 Solutions: Surface Areas and Volumes (Chapter 13) Exercise 13.6 – Part 2

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Q-3 A soft drink is available in two packs

A tin can with a rectangular base of length and width , having a height of and

A plastic cylinder with circular base of diameter and height

Which container has greater capacity and by how much?

Solution (i)

Capacity of tin can

Capacity

Solution (ii)

Capacity or volume of plastic cylinder is given as

Diameter, therefore radius(r)

Height (h)

Therefore, capacity

Clearly the second container, the plastic cylinder has greater capacity than the first container, a tin can. The cylinder has more volume.

Q-4 If the lateral surface of a cylinder is and its height is ,and then find

Radius of its base

Its volume .()

Solution:

Consider the radius of the cylinder be

Height

Later surface area

So, the radius of the base is

Now, volume of cylinder

Q-5 It costs to paint the inner curved surface of a cylindrical vessel deep. If the cost of painting is at the rate of find

Inner curved surface area of the vessel

Radius of the base

Capacity of the vessel

Solution:

Inner curved surface area of the vessel

Radius of the base

Consider the radius of the base

The height of the cylindrical vessel

We know that inner curved surface area

Therefore,

So, the radius of the base is

Capacity of the vessel