Bird Lewis
02/02/2023 · Primary School

Question \( 16 . d \) of 18 [Tutorial: Using density as a conversion factor.] This tutorial will walk you through the process of calculating the mass of the cue ball using its density and determined volume. Step 3b: Calculate the answer. The volume of the ball is \( 97.68 \mathrm{~cm}^{3} \). What is the regulation mass in grams of a cue ball with a density of 1.740 g/cm?3 .

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To calculate the mass of the cue ball using its volume and density, you can use the formula: \[ \text{Mass} = \text{Density} \times \text{Volume} \] Given: - Volume of the cue ball = \( 97.68 \, \text{cm}^3 \) - Density of the cue ball = \( 1.740 \, \text{g/cm}^3 \) Now, plug in the values: \[ \text{Mass} = 1.740 \, \text{g/cm}^3 \times 97.68 \, \text{cm}^3 \] Calculating this: \[ \text{Mass} = 1.740 \times 97.68 \approx 170.0 \, \text{g} \] Therefore, the regulation mass of the cue ball is approximately **170.0 grams**.

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The mass of the cue ball is approximately 170.0 grams.
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