Multiple choice

A solid sphere of radius 9 cm is melted to form a sphere of radius 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is 9 सेमी. त्रिज्या का एक ठोस गोला पिघलाकर 6 सेमी. त्रिज्या का एक ठोस गोला और समान त्रिज्या का एक लम्बवृत्तीय बेलन बनाया गया है | इस तरह बने बेलन की ऊँचाई है

  1. 19 cm. /सेमी.

  2. 21 cm. /सेमी.

  3. 23 cm. /सेमी.

  4. 25 cm. /सेमी.
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A Correct answer
Explanation

Volume of original sphere = (4/3)π(9)³ = 972π cm³. Volume of new sphere = (4/3)π(6)³ = 288π cm³. Volume of cylinder = Volume remaining = 972π - 288π = 684π cm³. For cylinder: πr²h = 684π, where r = 6. So π(36)h = 684π, giving h = 684/36 = 19 cm.

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