Question

A graduated cylinder is filled to 10.0mL with water and a piece of graniteis placed in the cylinder, displacingthe level to 23.7 mL. What is thevolume of the granite piece in cubiccentimeters?[ ? ] cm3Enter

Answer 1

Both given volumes are in mL, so we can work without converting and just convert at the end.

The initial volume, 10.0 mL, is just from water, and the final volume, 23.7 mL, is the volume of water plus the volume of the granite.

So, we have:

`\begin{gathered} V_(water)=10.0mL \\ V_(total)=23.7mL \\ V_(total)=V_(water)+V_(granite) \end{gathered}`

Thus, we can substitute the known values:

`\begin{gathered} V_(total)=V_(water)+V_(granite) \\ 23.7mL=10.0mL+V_(granite) \\ V_(granite)=23.7mL-10.0mL \\ V_(granite)=13.7mL \end{gathered}`

So, the volume of granite is 13.7 mL. The conversion from mL to cm³ is 1 : 1, which means that:

`13.7mL=13.7cm^3`

Thus, the answer is 13.7 cm³.