A ball has a mass of 33.6 grams and a volume of 14.0 cubic centimeters (cm^3). What is its density?

• A. 0.42 g/cm^3
• B. 47.6 g/cm^3
• C. 19.6 g/cm^3
• D. 2.40 g/cm^3

Answer: (D)

Verified step by step guidance

1. Identify the formula for density, which is given by \(\text{density} = \frac{\text{mass}}{\text{volume}}\).
2. Convert the given mass and volume into consistent units if necessary. Here, the mass is 33.6 grams and the volume is 14.0 cubic centimeters, which are already compatible units for density in g/cm\(^3\).
3. Substitute the given values into the density formula: \(\text{density} = \frac{33.6\ \text{g}}{14.0\ \text{cm}^3}\).
4. Perform the division to find the density value (do not calculate the final number here, just set up the expression).
5. Interpret the result as the density of the ball in grams per cubic centimeter (g/cm\(^3\)), which tells you how much mass is contained in each unit volume of the ball.