The diameter of a cylindrical construction pipe is 3ft. If the pipe is 12ft long, what is its volume?Use the value 3.14 for π, and round your answer to the nearest whole number.Be sure to include the correct unit in your answer.12ft3ft
Question
The diameter of a cylindrical construction pipe is 3ft. If the pipe is 12ft long, what is its volume?Use the value 3.14 for π, and round your answer to the nearest whole number.Be sure to include the correct unit in your answer.12ft3ft
Solution
The volume of a cylinder is given by the formula V=πr²h, where r is the radius and h is the height (or in this case, the length of the pipe).
Step 1: Convert the diameter to radius. The radius is half of the diameter, so r = 3ft / 2 = 1.5ft.
Step 2: Substitute the values into the formula. V = 3.14 * (1.5ft)² * 12ft.
Step 3: Calculate the volume. V = 3.14 * 2.25ft² * 12ft = 84.78ft³.
Step 4: Round to the nearest whole number. V ≈ 85ft³.
So, the volume of the pipe is approximately 85 cubic feet.
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