Multiple choice

A sphere of radius 12 cm melted and casted in to cylinder with radius 6 cm and height 'h'. Find the value of 'h'. 12 सेमी. त्रिज्या वाले एक गोले को पिघलाकर 6 सेमी. त्रिज्या तथा h सेमी. ऊँचाई वाले एक बेलन में ढाला गया। h का मान ज्ञात कीजिए।

  1. 32 cm/सेमी.

  2. 16 cm/सेमी.

  3. 64 cm/सेमी.

  4. 18 cm/सेमी.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sphere volume = (4/3)πr³ = (4/3)π(12)³ = 2304π. Cylinder volume = πR²h = π(6)²h = 36πh. Equating: 36πh = 2304π gives h = 64 cm. This uses volume conservation principle - melting and recasting preserves volume.

Keep practicing — related questions