Question

An undersea research centre I spherical with an external diameter of 5.20m. The mass of the chamber when occupied is 74400kg. It is anchored to the sea bottom by a cable. What is
a.) The buoyant force on the chamber?
b.) The tension in the cable?

Answer 1

the volume of the sphere is 4/3 pi r^3 = 589 m^3
The buoyant force is the weight of the water displaced by the sphere.
mass = volume * density

The tension is the buoyant force minus the weight of the sphere.