Convert each of the following using the definitions in Table D$1\mathrm{.}1$ and unit conversion factors. Show the cancell of units.

$a.4\mathrm{.}76pm\frac{1}{{10}^{-12}pm}m\frac{{10}^{-6}}{1}m,m=4\mathrm{.}76{10}^{-6}m$

Determine the volume $($in $mL)$ of $1\mathrm{.}0$ teaspoon. $1$ tablespoon $=3$ teaspoons; $1$ tablespoon $=\frac{1}{2}$ fluid ounce

A basketball is inflated to $9\mathrm{.}0($pounds per square inch$)$ above atmospheric pressure of $14\mathrm{.}7($a total pressure of $23\mathrm{.}7).$ The diameter of the basketball is $10$ inches.

a$.$ What is the pressure of the air in the basketball, expressed in atmospheres?

$23\mathrm{.}7p51\frac{4696}{1p5i}$atm

$=111\mathrm{.}29$ atm

b$.$ What is the volume $($in liters$)$ of the basketball? The volume of a sphere $=\frac{4}{3}{r}^3,$

$5.$ Hurricane Katrina, which hit the Gulf Coast of Louisiana and Mississippi on August $29,2005,$ had the second lowest ever recorded barometric pressure at $0\mathrm{.}920mb.$ Convert this pressure to units of$....$

a$.$ atmospheres.

$]=[92{10}^{-3}kp\frac{1(atm)}{101\mathrm{.}325kP}$

b$.$ inches of $Hg($as would appear on weather report$).$

$9\mathrm{.}07{10}^{-4}gtm\frac{29\mathrm{.}924Hg}{\text{r}\text{a}\text{t}\text{m}}=0\mathrm{.}027141$

$=2\mathrm{.}7{10}^{-2}Ha$

A beaker in your laboratory drawer has an inside diameter of $6\mathrm{.}8cm$ and a height of $8\mathrm{.}9cm.$

Using the equation $V=r^{2}h,$ calculate the volume of the beaker, expressed in milliliters.

$8\mathrm{.}9(3\mathrm{.}4{)}^2=323\mathrm{.}2c{m}^3$

$3\mathrm{.}232{10}^{2}c{m}^3\frac{mL}{m^3}$

$=3\mathrm{.}232{10}^{2}mL$

$=3\mathrm{.}2{10}^{2}mL$

Dry Lab $1$

$49$