What is the volume of a cylinder with base radius 2 and height 6?
1 answer:
Answer:
Volume of cylinder = <em>24</em> or <em>75.36</em> <em>cubic units
</em>
Step-by-step explanation:
We are given the following details about the cylinder:
Radius of Base, r = <em>2 units</em>
Height of Cylinder, h = <em>6 units </em>
Please refer to the figure attached for knowing the structural details of a cylinder.
The attached image shows how a cylinder looks like and the <em>radius </em>and <em>height </em>of the cylinder are also represented and labeled.
Radius of base of cylinder is shown as 'r'. The <em>base </em>circle and <em>top </em>circle are equal in size.
Height of cylinder is shown as 'h'.
The <em>volume </em>of a cylinder is formulated as:
Putting value of as <em>3.14</em>:
Volume = <em>75.36 cubic units</em>
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<h3>Answer: 0.061</h3>
===============================================
Explanation:
Add up the values to get
1.96+1.81+1.97+1.83+1.87+1.84+1.85+1.94+1.96+1.81+1.86+1.95+1.89= 24.54
Then divide over 13 (the number of values) to get 24.54/13 = 1.8876923 which is approximate.
So the mean is approximately 1.8876923
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Now make a spreadsheet as shown below
We have the first column as the x values, which are the original numbers your teacher provided. The second column is of the form (x-M)^2, where M is the mean we computed earlier. We subtract off the mean and square the result.
After we compute that column of (x-M)^2 values, we add them up to get what is shown in the highlighted yellow cell at the bottom of the column.
That sum is approximately 0.04403076924
Next, we divide that over n-1 = 13-1 = 12
0.04403076924 /12 = 0.00366923077
That is the sample variance. Apply the square root to this to get the sample standard deviation. This is the point estimate of the population standard deviation. As the name implies, it works for samples that estimate population parameters.
sqrt(0.00366923077) = 0.06057417576822
This rounds to 0.061 which is the final answer.