Answer:
1.B. 5,699.1 in3
2.C. Area of Base x Height
3.D. 250 cm3
Step-by-step explanation:
To calculate the volume of a cylinder you have the next formula:
[tex]V=(\pi )(r^{2} )(H)[/tex]
Since you are given the diameter you have to first calculate the radius:
[tex]r=\frac{D}{2}[/tex]
[tex]r=\frac{22}{2}[/tex]
[tex]r=11}[/tex]
Now that you have the radius you can put the values inside the cylinder formula for the volume:
[tex]V=(\pi )(11^{2} )(15)[/tex]
[tex]V=(3.14)(121)(15)[/tex]
[tex]V=5,699.1[/tex]
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The formula for any prism or cylinder is mutiplying the area of the base by the height, which would be like this:
[tex]V=(AB)(H)[/tex]
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To calculate the area of a prism with a square base you just have to use the formula for the prism:
[tex]V=(AB)(H)[/tex]
No the area of the base would be:
[tex]AB=(S)(S)[/tex]
Since it is a square, so the area of the base is:
[tex]AB=(S)(S)=(5)(5)=25[/tex]
Now that you have the are of the base, you just multiply it by the height:
[tex]V=(AB)(H)[/tex]
[tex]V=(25)(10)[/tex]
[tex]V=250[/tex]
