2-8 Literal Equations And Dimensional Analysis Worksheet With Answers - Cognero Page 16
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272-8 Literal Equations and Dimensional Analysis
You would save about 3000 1286 or $1714 per year which is equivalent to about
or about $33 per week.
CHALLENGE The circumference of an NCAA women s basketball is 29 inches, and the rubber coating is
, where v represents the volume and r is the radius of the inside of the ball,
to determine the volume of the air inside the ball. Round to the nearest whole number.
To find the volume of the air inside, first find the radius of the interior of the ball. The circumference of the ball is 29
inches. Replace C with 29 in the equation for circumference, C = 2 r. Solve for r.
The radius of the ball is about 4.61549 inches. To find the radius of the interior of the ball, subtract
because the rubber coating is
or about 4.42799
inches. To find the volume of the air inside, replace r with 3.86579 in the equation
and solve for v.
The volume of the air inside the ball is about 364 cubic inches.
REASONING Select an appropriate unit to describe the highway speed of a car and the speed of a caterpillar
crawling on a tree. Can the same unit be used for both? Explain.
If you were to measure the average speed of a caterpillar, you would likely use a stop watch and a ruler to measure
how many inches the caterpillar moves after a given number of seconds. This speed would be best measured in
If you were to measure the average speed of a car on a highway, you would use the odometer to determine the
number of miles that were driven in a given amount of time. Time could be measured in minutes or hours, but hours
are most commonly used. The units used in this case would then be miles per hour.
The rate of a car is faster than a caterpillar. The rate of a car is best described by miles per hour and the rate of the
caterpillar is best described by inches per second. So, you cannot use the same unit for each situation.
ERROR ANALYSIS Sandrea and Fernando are solving 4a
5b = 7 for b. Is either of them correct? Explain.
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