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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Tutor-Verified Answer
Step-by-step Solution
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**.
Quick Answer
The mass of the cue ball is approximately 170.0 grams.
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