If a rock is put into a graduated cylinder with 25 mL of water and the water level rises to 63 mL, what is the volume of the rock?

A. 87 mL
B. 63 mL
C. 25 mL
D. 38 mL



Answer :

To determine the volume of the rock, follow these steps:

1. Identify the initial water level: The initial amount of water in the graduated cylinder is 25 mL.

2. Identify the final water level: After placing the rock into the cylinder, the water level rises to 63 mL.

3. Calculate the change in water level: The volume of the rock is equal to the increase in the water level when the rock is submerged in the water. This can be found by subtracting the initial water level from the final water level.

[tex]\[ \text{Volume of the rock} = \text{Final water level} - \text{Initial water level} \][/tex]

4. Substitute the known values:

[tex]\[ \text{Volume of the rock} = 63 \, \text{mL} - 25 \, \text{mL} \][/tex]

5. Perform the subtraction:

[tex]\[ \text{Volume of the rock} = 38 \, \text{mL} \][/tex]

Thus, the volume of the rock is [tex]\( 38 \, \text{mL} \)[/tex].

The correct answer is:
D. 38 mL