Question

the water level of a graduated cylinder rises from 50 ml to 75 ml when a solid object is dropped in.
if the mass of the solid object is 100 g, what is the density of the solid object?
(hint: to find density you must divide mass by volume.)
25 g/ml
125 g/ml
4 g/ml
8 g/ml

Explanation:

Step1: Find the volume of the object

The water level rises from 50 mL to 75 mL, so the volume of the object is the change in water volume.
Volume \( V = 75\,\text{mL} - 50\,\text{mL} = 25\,\text{mL} \)

Step2: Calculate the density

Density \(
ho \) is given by the formula \(
ho = \frac{\text{mass}}{\text{volume}} \). The mass of the object is 100 g and the volume is 25 mL.
\(
ho = \frac{100\,\text{g}}{25\,\text{mL}} = 4\,\text{g/mL} \)

Answer:

4 g/mL (corresponding to the option "4 g/mL")