What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 10 feet? Round to the nearest tenths placeAnswer: V=□ feet 3
Q. What is the volume of a cylinder, in cubic feet, with a height of 16 feet and a base diameter of 10 feet? Round to the nearest tenths placeAnswer: V=□ feet 3
Identify Formula: Identify the formula for the volume of a cylinder.The formula for the volume of a cylinder is V=πr2h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
Convert Diameter to Radius: Convert the diameter to radius.Since the diameter of the base is given as 10 feet, the radius is half of the diameter. Therefore, the radius r=2diameter=210 feet=5 feet.
Plug Values into Formula: Plug the values into the formula.Using the radius of 5 feet and the height of 16 feet, the volume V=π×(5 feet)2×16 feet.
Calculate Volume: Calculate the volume.V=π×25×16=π×400V≈3.14159×400V≈1256.636 feet3 (before rounding)
Round Volume: Round the volume to the nearest tenths place. V≈1256.6 feet3 when rounded to the nearest tenths place.
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