Provide schematic diagram, complete formulas use and it's meaning and complete solutions.

Subject: Physics

Archimedes' Principle

1. A 1-foot diameter hollow sphere is made of stainless steel (relative weight = 7.85) with 0.16 inch wall thickness. How high will the sphere float in seawater?

2. A plastic sphere floats in kerosene with 55% of its volume submerged. This same sphere floats in sugar syrup with 38% of its volume submerged. Determine the weight densities of the sugar syrup and of the sphere.