Math, asked by brainlychallenger99, 1 month ago

A solid sphere of radius 3 cm is melted and then cast into small spherical balls each of diameter 0.6cm. Find the number of balls thus obtained.

Answers

Answered by brainlyanswerer83
3

Hey Mate,

Given Question:-

→ A solid sphere of radius 3 cm is melted and then cast into small spherical balls each of diameter 0.6cm. Find the number of balls thus obtained.

To Find :-

→ Find the number of balls thus obtained?

Solution:-

→ Let the total number of balls be x.

Volume of the solid sphere

→ 4 / 3 π r³  = 4 / 3 π × 3³ cm³ = 36 π cm³

Radius of Spherical ball

→ 0.6 / 2 cm = 0.3 cm

Volume of spherical ball ⇒

4 / 3 π × ( 0.3)³ cm³

→ 4 / 3 π × 3 / 10 × 3 / 10 × 3 / 10 cm³

→ = 36π / 1000 cm³

→ ∴ Volume of x  spherical ball ⇒

36 π / 1000 x cm³,

clearly , volume of the solid sphere = volume of x spherical balls.

36π = 36 π / 1000 x

→ ⇒ x = 1000

Hence , 1000 spherical balls are obtained by melting the given solid sphere.

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