Multiple choice

A cylindrical can of internal diameter 24 cm contains water. A solid sphere of radius 6 cm is completely immersed in water in the cylinder.The water level increased by एक बेलनाकार पात्र (कैन) में, जिसका भीतरी व्यास 24 सेमी है, पानी है। एक 6 सेमी त्रिज्या वाले ठोस गोले को बेलन के पानी में पूरी तरह डुबोया जाता है। जल स्तर में वृद्धि कितनी हुई?

  1. 0.25 cm/सेमी

  2. 0.5 cm/सेमी

  3. 2 cm/सेमी

  4. 3 cm/सेमी
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sphere volume = (4/3)πr³ = (4/3)π × 216 = 288π cm³. This is the water displaced. Cylinder base area = πR² = π × 144 = 144π cm². Water level rise = Volume/Area = 288π/144π = 2 cm. Option B (0.5 cm) would result from using cylinder radius 12 instead of calculating area.

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