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ICSE Class X Math 2015 Solved Paper

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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 ‌
‌‌
4
3
π(2)3+‌
4
3
π(4)3=‌
1
3
πr2h
‌32+256=r2×8
‌‌
288
8
=r2
‌36=r2
‌r=6‌cm.
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