The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 14ft 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.14ft1.5ft
Question
The radius of a cylindrical construction pipe is 1.5ft. If the pipe is 14ft 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.14ft1.5ft
Solution
The volume of a cylinder is given by the formula V = πr²h, where r is the radius, h is the height, and π is a constant approximately equal to 3.14.
Step 1: Identify the given values. The radius (r) is 1.5ft and the height (h) is 14ft.
Step 2: Substitute the given values into the formula. V = 3.14 * (1.5ft)² * 14ft.
Step 3: Calculate the square of the radius. (1.5ft)² = 2.25ft².
Step 4: Multiply the result by π and the height. V = 3.14 * 2.25ft² * 14ft = 99.315ft³.
Step 5: Round the result to the nearest whole number. V ≈ 99ft³.
So, the volume of the cylindrical construction pipe is approximately 99 cubic feet.
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