The radius of a cylindrical construction pipe is 2ft. If the pipe is 24ft 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.24ft2ft
Question
The radius of a cylindrical construction pipe is 2ft. If the pipe is 24ft 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.24ft2ft
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: Identify the radius and the height. The radius r is 2ft and the height h is 24ft.
Step 2: Substitute the values into the formula. V = π(2ft)²(24ft) = π(4ft²)(24ft) = π(96ft³).
Step 3: Calculate the volume. Using 3.14 for π, the volume V is approximately 3.14 * 96ft³ = 301.44ft³.
Step 4: Round to the nearest whole number. The volume is approximately 301ft³.
So, the volume of the pipe is approximately 301 cubic feet.
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