In the given problem shape of the object is spherical to find answer of this question need to use sphere volume formula. Question from RS Aggarwal book chapter volume and surface area of solid, page number 810, exercise 17B, problem number 14

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# A spherical ball of diameter 21 cm is melted and recast into cubes, each of side 1 cm. Find the number of cubes so formed.

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Given data in problem

Diameter of the spherical ball= 21 cm

Radius of the ball = 21/2 cm = 10.5 cm

Volume of spherical ball = [4/3] Ï€rÂ³

= [4/3] Ã— Ï€ Ã— [10.5]Â³

= 4851 cmÂ³

Volume of each cube = 1Â³Â Â Â [ side = 1 ……given ]

= 1 cmÂ³

Number of cubes = Volume of spherical ball / Volume of each cube

= 4851 / 1

= 4851

âˆ´ 4851 Â cubes are formed