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CBSE Class 9 Answered

sphere
Asked by fathima12 | 29 Dec, 2009, 12:35: AM
answered-by-expert Expert Answer

Recasting won't change the volume.

Let D1,D2,D3,Do be the diameters of the three recast balls and the initial spherical ball respectivley.

Volume of ball 1 + Volume of ball 2 + Volume of ball 3 = Volume of spherical ball

πD13/6 + πD23/6 + πD33/6 = πD03/6

D13 + D23 + D33 = D03

D33 = D03 - ( D13 + D23)

= 33 - ((3/2)3+23)

=125/8

D3 = 5/2

The diameter of the third ball is 5/2 cm.

Regards,

Team,

TopperLearning.

Answered by | 29 Dec, 2009, 12:50: AM

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