Question

answer the following in complete sentences
a graduated cylinder is filled with water to 32.5 ml. after placing a piece of zinc into the cylinder, the water level rises to 41.8 ml.

1. if the density of zinc is 7.1 g/cm³, what is the volume and mass of the zinc?

Explanation:

Step1: Calculate the volume of zinc

The volume of zinc \(V\) is equal to the change in water volume.
\(V = 41.8\space mL - 32.5\space mL=9.3\space mL\). Since \(1\space mL = 1\space cm^{3}\), so \(V = 9.3\space cm^{3}\)

Step2: Calculate the mass of zinc

We know the density formula \(
ho=\frac{m}{V}\), where \(
ho = 7.1\space g/cm^{3}\) and \(V = 9.3\space cm^{3}\).
Rearrange the formula to \(m=
ho\times V\).
\(m=7.1\space g/cm^{3}\times9.3\space cm^{3}=66.03\space g\)

Answer:

The volume of the zinc is \(9.3\space cm^{3}\) and the mass is \(66.03\space g\)