What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?
Question
What is the volume of a cylinder with a height of 7.1 ft and a base with a diameter of 12.8 ft, to the nearest tenth of a cubic foot?
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: Find the radius. The diameter of the base is given as 12.8 ft, so the radius (r) is half of the diameter, which is 12.8/2 = 6.4 ft.
Step 2: Substitute the radius and the height into the formula. The height (h) is given as 7.1 ft. So, V = π(6.4 ft)²(7.1 ft).
Step 3: Calculate the volume. V = π(40.96 ft²)(7.1 ft) = approximately 917.4 cubic feet.
So, the volume of the cylinder is approximately 917.4 cubic feet, to the nearest tenth of a cubic foot.
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