D = 8cm H=8cm - Gauthmath

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Question

A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 6 feet tall. Find the volume of the  pile. □ ft.^3 Round your answer to the nearest tenth if necessary.SHOW LESS178

Solution

user avatar imageAnswer628,318.5 ft³ExplanationExplanation: Step 1: Identify the radius of the base of the cone. Since the diameter is 20 feet, the radius r is half of that, so r = 20/2 = 10 feet. Step 2: Use the formula for the volume of a cone, V = (1/3)πr²h, where r is the radius and h is the height. Step 3: Substitute the values into the formula: V = (1/3)π(10)²(6)² ft³. Step 4: Calculate the volume: V = (1/3)π(100)(36) ft³ = 200π ft³. Step 5: Use the value of π (approximately 3.14159) to find the volume: V = 200 * 3.14159 ft³ ≈ 628,318.5 ft³.Click to rate:91.3(622 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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