Sarkari RiseLogin
CDS 2023 · PYQ · Mensuration · medium

A sphere of radius 5 cm is dropped in a right circular cylindrical vessel partly filled with water. The radius of the cylindrical vessel is 10 cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel?

Answer

The correct answer is C: 5/3 cm. Sphere volume = (4π/3)·125 = 500π/3. Cylinder cross-section = π·100 = 100π.

  1. A.1 cm
  2. B.5/6 cm
  3. C.5/3 cm✓ Correct
  4. D.5/2 cm

Explanation

Sphere volume = (4π/3)·125 = 500π/3. Cylinder cross-section = π·100 = 100π. Rise = (500π/3)/(100π) = 5/3 cm.
💡 Practice unlimited CDS PYQs + AI-tracked progress on each topic. Sign up free →

More Mensuration questions

Want more CDS practice?

Free daily 10-Q quiz · adaptive mocks · 49,000+ practice questions (19,000+ verified PYQs) · AI doubt solver in Hindi + English

Sign up freeMore Mensuration practice