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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 cm^3? - Mathematics

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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?

`["Assume "pi=22/7]`

 

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Solution

Radius (r) of metallic ball = (4.2/2)cm = 2.1 cm

`"Volume of metallic ball "=4/3pir^3`

`=[4/3xx22/7xx(2.1)^3]cm^3`

= 38.808 cm3

`"Density "="Mass"/"Volume"`

Mass = Density × Volume

= (8.9 × 38.808) g

= 345.3912 g

Hence, the mass of the ball is 345.39 g (approximately).

Concept: Volume of a Sphere
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APPEARS IN

NCERT Class 9 Maths
Chapter 13 Surface Area and Volumes
Exercise 13.8 | Q 3 | Page 236

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