ICSE Class X Math 2015 Solved Paper

Question : 29

Total: 52

Two solid spheres of radii 2‌cm and 4‌cm are melted and recast into a cone of height 8‌cm. Find the radius of the cone so formed.

Solution:

‌‌ Volume of two spheres = Volume of cone ‌
‌‌

π(2)3+‌

π(4)3=‌

πr2h
‌32+256=r2×8
‌‌

288

=r2
‌36=r2
‌r=6‌cm.

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