# Simple volume of a cylinder with unit conversion.

Since this module focuses on measurement it will be very important that mathematical conversions be clearly demonstrated throughout your problem write-up. For example, if you are converting 28 yards to meters, you must track your calculations with cancellation of units as seen below:

28 yards times (0.9144 meters / 1 yard) = 25.6 meters. Both instances of the unit "yards" is crossed out to indicate cancellation.

Answer each of the questions following the narrative below in your own words. Do not copy and paste or retype the questions themselves into your document, as this will cause unreliable results at Turnitin.com. Simply provide the answers.

Now, consider the following narrative.

Mrs.Carmichael keeps organic feed for her horses located in a cylinder in her barn. The cylinder is filled from the top and the feed is dispensed at the bottom. Mrs.Carmichael knows that the height of the cylinder is 7 feet 5 inches and that it has a diameter of 5 feet. Respond to each of the following items.

What is the maximum amount of feed the feed cylinder contains assuming there is a flat top to the cylinder? [Hint: For a right circular cylinder, V = πr2h. Remember that the radius r is ½ of the diameter. You may use 3.14 to approximate π.]

Mrs. Carmichael has a tape on the outside of the container that indicates to her the approximate height of the feed within it. She reads that the height of the feed in the container is about 2 feet 8 inches. How much feed should she purchase for her horses to ensure the feed container is filled again to capacity? Express this amount in cubic meters.

Next, Mrs. Carmichael visits her local agricultural co-operative to purchase the necessary amount of feed. She finds that each bag of organic horse feed has a mass of 50 kilograms with a corresponding capacity of 0.15 m3. How many bags of feed must she purchase to fill the feed container to capacity?

You may use ideas from the discussion board, but you are expected to write your solution using your own words to explain your reasoning. The report should be no more than 3 pages.

Keep the following in mind to maximize credit for your write-up:

Review the rubric your instructor will use to score your work. (See Evaluation Criteria below).

Answer all parts of the problem.

Write your solution in your own words. Show your justification for every step in your solution, using clear, mathematically accurate language. You can use phrases to explain your reasoning from step to step, but clearly state your final conclusions using complete English sentences (for example, "Jill needs to add 43 gallons of water to her pool").

Label all numbers with the units they represent (e.g., 0.3048 ft/meter).

Type your write-up in MS Word and try to use the Equation Editor so that your equations are clear.

The video How to use Equation Editor in Microsoft Office is a good tutorial. For this course, it is sufficient to watch segments 0:00-5:00 and 9:50-12:00. To cancel units, you can use the MS Word strikethrough feature (circled in blue below). Select what you want to cross out, and then click the strikethrough.

image of MS Word strikethrough feature circled in blue

Example:

28 yards times (0.9144 meters / 1 yard) = 25.6 meters. Both instances of the unit "yards" is crossed out to indicate cancellation.

This level of typesetting is also acceptable:

(28 yards) x 0.9144 meters/ 1 yards = 25.6 meters

If you cannot type your equations, you may hand-write the mathematics in dark ink, scan your paper, check for legibility then upload your work.

https://brainmass.com/math/algebra/simple-volume-cylinder-unit-conversion-629682

#### Solution Preview

See attached.

Part 1:

Calculate the volume of a full cylinder using V = πr2h, where:

R = radius of the cylinder = diameter/2

H = height of the cylinder

Calculate accordingly using the given units (cubic feet). Since the rest of the parts are asking for metric answers, it's best to convert this to metric now.

(V in ft3) x (1 ...

#### Solution Summary

A brief approach calculating the volume of a cylinder with conversion of units of measurement. Unit conversion calculations are provided.