If an irregularly shaped apple possesses a density of 0.96 g/cm³, what is its mass in milligrams? (The volume of the given cylinders are in mL).

• A. 4000 mg
• B. 5000 mg
• C. 0.0048 mg
• D. 4800 mg
• E. 5300 mg

Answer: (D)

Verified step by step guidance

1. First, observe the two graduated cylinders in the image. The left cylinder shows a volume of 7 mL, and the right cylinder shows a volume of 10 mL with the apple submerged.
2. Calculate the volume of the apple by finding the difference between the two volumes. Subtract the initial volume (7 mL) from the final volume (10 mL) to get the volume of the apple: \( V_{apple} = 10 \text{ mL} - 7 \text{ mL} \).
3. Convert the volume of the apple from milliliters to cubic centimeters. Since 1 mL is equivalent to 1 cm³, the volume of the apple is \( V_{apple} = 3 \text{ cm}^3 \).
4. Use the formula for density \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \) to find the mass of the apple. Rearrange the formula to solve for mass: \( \text{Mass} = \text{Density} \times \text{Volume} \). Substitute the given density (0.96 g/cm³) and the calculated volume (3 cm³) into the formula.
5. Convert the mass from grams to milligrams. Since 1 gram is equal to 1000 milligrams, multiply the mass in grams by 1000 to get the mass in milligrams.