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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 metal is $8.9 g / cm 3 ?$

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345.3912 gm

525.4123 gm

565.4123 gm

453.3912 gm

answer is C.

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Detailed Solution

Given, diameter of the metallic ball=4.2cm.
We know, Radius

= D i a m e t e r 2

⇒ 4.2 2

⇒

2.1 cm
Volume of the spherical metallic ball

= 43 π r 3

⇒ 43 × 227 × (2.1) 3

⇒ 38.808 c m 3

We know, Mass = Volume

×

Destiny So, Mass of a metallic object =Volume of the object

\times

Density of the metal.

⇒

38.808

× 8.9

⇒ 345.3912

gm
The mass of the ball is 345.3912 gm.
Therefore, the correct option is 3.

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