What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 6 feet? Round to the nearest tenths placeAnswerAttempt 1 out of 2
Question
What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 6 feet? Round to the nearest tenths placeAnswerAttempt 1 out of 2
Solution
The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder.
Step 1: Convert the diameter to radius. The radius is half of the diameter, so r = d/2 = 6/2 = 3 feet.
Step 2: Substitute the values into the formula. V = π(3)²(16) = π(9)(16) = 144π cubic feet.
Step 3: To round to the nearest tenth, calculate the volume using π ≈ 3.14. V = 144 * 3.14 = 452.16 cubic feet.
So, the volume of the cylinder is approximately 452.2 cubic feet when rounded to the nearest tenth.
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