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

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]

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).

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APPEARS IN

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