Given a hemispherical bowl of internal radius 9 cm and a cylindrical vessel of internal radius 3 cm, what height will the liquid attain in the cylinder when the entire contents of the full bowl are transferred into it?
Show answer & explanation
Correct answer: B
Explanation
Hemisphere (r₁ = 9 cm)
Cylinder (r₂ = 3 cm, Height = h)
Volume of Hemisphere = (2/3)πr₁³
Volume of Cylinder = πr₂²h
(2/3)π(9³) = π(3²)h
(2/3)π(729) = 9πh
486π = 9πh
h = 54 cm