A solid metal sphere of radius 3 cm is completely immersed in a cylindrical vessel of radius 6 cm. Assuming no overflow, find the rise in water level in cm.
Physics · Mathematical tools and vector · Geometry & Mensuration
NEET JEE Mains

Question

A solid metal sphere of radius 3 cm is completely immersed in a cylindrical vessel of radius 6 cm. Assuming no overflow, find the rise in water level in cm.

G1 Physics · Accepted Answer

Displaced volume=sphere volume=4/3π×27=36π. Rise h satisfies π×6²×h=36π, so h=1 cm.