A gauge is used to measure the diameter of a ball. Determine the radius of the balls if their diameters are 30mm and 20mm, and the vertical distances from the top of the gauge to their centers are 4.2

March 26, 2026Mathematics

ScanSolve AI Answer

March 26, 2026

Answer

30 $mm, so its radius is$ R_1 = \frac{30}{2} = 15$ mm.

Step 1: Identify the given dimensions. The diameter of the larger ball is $D_1 = 30$ mm, so its radius is $R_1 = \frac{30}{2} = 15$ mm. The diameter of the smaller ball is $D_2 = 20$ mm, so its radius is $R_2 = \frac{20}{2} = 10$ mm. The vertical distance from the top of the gauge to the center of the larger ball is $H_1 = 4.25$ mm. The vertical distance from the top of the gauge to the center of the smaller ball is $H_2 = 36.75$ mm.

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Quick Answer

Identify the given dimensions. The diameter of the larger ball is D_1 = 30 mm, so its radius is R_1 = (30)/(2) = 15 mm.

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 26, 2026

Step 1: Identify the given dimensions. The diameter of the larger ball is D_1 = 30 mm, so its radius is R_1 = (30)/(2) = 15 mm. The diameter of the smaller ball is D_2 = 20 mm, so its radius is R_2 = (20)/(2) = 10 mm. The vertical distance from the top of the gauge to the center of the larger ball is H_1 = 4.25 mm. The vertical distance from the top of the gauge to the center of the smaller ball is H_2 = 36.75 mm. Step