What is the volume of a cylinder, in cubic feet, with a height of 20 feet and a base diameter of 8 feet? Round to the nearest tenths place
Question
What is the volume of a cylinder, in cubic feet, with a height of 20 feet and a base diameter of 8 feet? Round to the nearest tenths place
Solution
The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.
Step 1: Find the radius. The diameter of the base is 8 feet, so the radius (r) is half of that, which is 4 feet.
Step 2: Substitute the values into the formula. V = π(4)²(20)
Step 3: Calculate the volume. V = π(16)(20) = 320π cubic feet.
Step 4: Convert the volume to a decimal. π is approximately 3.14159, so V = 320 * 3.14159 = 1005.3096 cubic feet.
Step 5: Round to the nearest tenth. The volume of the cylinder is approximately 1005.3 cubic feet.
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