Core stretch A cylindrical glass of internal diameter $20$ cm and height $12$ cm contains water

Question

Core stretch

A cylindrical glass of internal diameter $20$ cm and height $12$ cm contains water to a depth of $8$ cm. Four identical solid spheres rest on its base in a square arrangement. They are fully submerged and the water depth rises to $9.44$ cm. Find the radius of each sphere.[3]

Accepted Answer

$3\text{ cm}$. The four spheres fit in the stated square arrangement and are fully submerged.

Spheres displacing water in a glass

Spheres displacing water in a glass

Solution:

Solution locked