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What is represented by the variable 'r' in the formulas given?

  1. The radius of a solid

  2. The height of a solid

  3. The diameter of a solid

  4. The volume of a solid

The correct answer is: The radius of a solid

The variable 'r' commonly represents the radius of a solid in mathematical formulas, particularly those related to circles and spheres. It denoted half the distance across a circular cross-section, and it is used in calculations for the area of a circle (A = πr²) and the volume of a sphere (V = (4/3)πr³). Understanding the role of 'r' as the radius is essential when working with geometric formulas, as it directly influences measurements of both surface area and volume of solids.