Answer
$10.02\text{ cm}$
Work Step by Step
We will use the formula:
$\text{Volume}=\frac{\text{Mass}}{\text{Density}}$
Gasoline:
$V_1=\frac{34.0\text{ g}}{0.73\text{ g/mL}}\approx 46.58\text{ mL}$
Water:
$V_1=\frac{34.0\text{ g}}{1.00\text{ g/mL}}\approx 34.0\text{ mL}$
Total volume:
$V_1+V_2=46.58+34.0\approx 80.58 \text{ mL}$
Convert volume to height using cylinder formula:
Volume of a cylinder:
$V=\pi r^2h\Rightarrow h=\frac{V}{\pi r^2}$
Diameter$=3.2\text{ cm}\Rightarrow \text{Radius}=1.6\text{ cm}$
Area$=\pi r^2=\pi\times (1.6)^2\approx 8.042\text{ cm}^2$
Convert volume to $\text{cm}^3$:
$h=\frac{80.58}{8.042}\approx 10.02\text{ cm}$
