To solve for the wrestler's volume and density, the apparent weight in water (80N) and the actual weight (980N) must be used. The buoyant force can be calculated by subtracting the apparent weight from the actual weight, which helps determine the volume using the formula for buoyancy. The relationship between mass, volume, and density is crucial, where mass equals volume times density. The relevant equations include weight as mass times gravity and the formulas for buoyancy and density. Understanding these concepts will lead to the solution of the problem.