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ICSE Class X Math 2014 Solved Paper

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The surface area of a solid metallic sphere is 2464cm2 . It is melted and recast into solid right circular cones of radius 3.5‌cm and height 7‌cm . Calculate :
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Question : 32
Total: 52
the radius of the sphere.
Solution:  
‌‌ Let the radius of sphere ‌=r‌cm
‌‌ Surface area of sphere ‌=4πr2
‌=2464cm2‌ (given) ‌
‌⇒‌‌r2=‌
2464
4π

‌r2=‌
2464×7
4×22
=196
‌r=14‌cm.
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