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Chapter 2: Problem 33
How many milliliters are there in \(246.7 \mathrm{~cm}^{3} ?\)
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A metal sphere has a radius \(r\) of \(4.00 \mathrm{~cm}\). What is the volume \(V\) of this sphere in cubic centimeters? The formula for the volume of a sphere is \(V=(4 / 3) \pi r^{3}\), where \(\pi=3.14159 .\)
One liter is equal to \(0.264\) gallon. Suppose you have \(1.000 \times 10^{3} \mathrm{~cm}^{3}\) of water. How many gallons do you have? Use unit analysis to calculate your answer, and show your work. Treat all conversion factors as exact.
An object travels \(80.0 \mathrm{~m} / \mathrm{s}\). How fast is it traveling in miles per hour? \([1 \mathrm{~m}=3.28 \mathrm{ft}, 1\) mile \(=5280 \mathrm{ft}]\)
The density of a certain liquid is \(1.15 \mathrm{~g} / \mathrm{mL}\). What mass in grams of the liquid is needed to fill a \(50.00\) -mL container? Do this problem by the method of algebraic manipulation, beginning with the equation density \(=\) mass/volume and showing all steps.
A train traveling at \(45.0\) miles \(/ \mathrm{h}\) has to make a trip of \(100.0\) miles. How many minutes will the trip take? Use unit analysis to calculate your answer, and show your work.
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