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Question

A chime is made of 3 identical spherical balls of density 363 g/cm3. If mass of each ball is 49 g, then find radius of each ball.
Take π=227


A

722 cm

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B

227 cm

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C

121 cm

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D

27 cm

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Solution

The correct option is A

722 cm


Given,
density of spherical ball = 363 g/cm3 and mass of spherical ball = 49 g

We know that,
Volume of the ball=Mass of the balldensity of ball
And volume of a sphere of radius 'r' is given by 43πr3.

43πr3=49363

r3=49 × 3363 × 4 × πr3=49 × 3 × 7363 × 4 × 22=73223r=722 cm
Therefore, radius of the identical spherical balls is 722 cm.


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