The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³?

Solution:

The diameter of the metallic ball = 4.2 cm

The density of the metal = 8.9 g per cm³.

We know that,

Density = Mass / Volume

Volume of a sphere = 4/3πr³

Diameter of the metallic ball, d = 4.2cm

Radius of the metallic ball, r = 4.2/2cm = 2.1cm

The volume of the metallic ball = 4/3πr³

= 4/3 × 22/7 × 2.1cm × 2.1cm × 2.1cm

= 38.808 cm³

Now, Mass = Volume × Density

Mass of the metallic ball = 38.808 cm³ × 8.9g / cm³

= 345.3912 g

= 345.39 g (approx.)

Thus, the mass of the ball is 345.39 g.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

Video Solution:

The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm³?

NCERT Solutions for Class 9 Maths - Chapter 13 Exercise 13.8 Question 3

Summary:

It is given that the diameter of a metallic ball is 4.2 cm. If the density of the metal is 8.9 g per cm³, we have found that the mass of the ball is 345.39 g.

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