Inscribe Cylinder in a Sphere
While repairing an old washing machine,
Wisdom finds a cylinder balance weight needs to be replaced. In order
to save money, Wisdom decides to make this part by cutting a steel sphere.
He wants the cylinder balance weight heaviest.
What is known:
- The radius of the sphere is 0.05 m.
- The mass density of this sphere is 7,900 kg/m3.
- The cylinder is inscribed in the sphere.
- The weight of the cylinder, w, is determined by its mass density,
ρ, and volume, v.