# RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15B in Chapter 15 - Volume And Surface Area Of Solids

Question 5 Volume And Surface Area Of Solids Exercise 15B

A soft drink is available in two packs:

A plastic cylinder with circular base of diameter 7cm and height 10cm.

Which container has greater capacity and by how much?

Answer:

The capacity of a cylinder is determined by its volume, which estimates the amount of stuff it can carry. A specific volume of a cylinder formula is used in geometry to determine how much of any quantity, liquid or solid, may be immersed in it uniformly.

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.

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