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=Volume of a cylinderThe diameter of a cylindrical construction pipe is 6 ft. If the pipe is 25 ft long, what is its volume?Use the value 3.14 for it, and round your answer to the nearest whole number.Be sure to include the correct unit in your answer.

Volume Of A CylinderThe Diameter Of A Cylindrical Construction Pipe Is 6 Ft If The Pipe Is 25 Ft Long What Is Its VolumeUse The Value 314 For It And Round Your class=

Sagot :

The volume of a cylinder is given by the following formula:

[tex]V=\frac{\pi\cdot h\cdot d^2}{4}[/tex]

Where h is the height and d is the diameter.

We can consider the length of the pipe as the height of the cylinder.

Then h=25 ft and d=6 ft. Replace these values in the formula and solve for V:

[tex]\begin{gathered} V=\frac{3.14\cdot25ft\cdot(6ft)^2}{4} \\ V=\frac{3.14\cdot25ft\cdot36ft^2}{4} \\ V=\frac{2826ft^3}{4} \\ V=706.5ft^3 \\ V\approx707ft^3 \end{gathered}[/tex]

The volume is 707 ft^3

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