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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 [Assume π=227] - Mathematics

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प्रश्न

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]`

 

योग

उत्तर

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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अध्याय 13: Surface Area and Volumes - Exercise 13.8 [पृष्ठ २३६]

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एनसीईआरटी Mathematics [English] Class 9
अध्याय 13 Surface Area and Volumes
Exercise 13.8 | Q 3 | पृष्ठ २३६

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