What is the volume of a cylinder with a height of 18.5 m and a base with a diameter of 5.2 m, to the nearest tenth of a cubic meter?
Question
What is the volume of a cylinder with a height of 18.5 m and a base with a diameter of 5.2 m, to the nearest tenth of a cubic meter?
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 5.2 m, so the radius (r) is half of the diameter, which is 5.2/2 = 2.6 m.
Step 2: Substitute the radius and the height into the formula. The height (h) is given as 18.5 m. So, V = π*(2.6 m)²*(18.5 m).
Step 3: Calculate the volume. V = π*(6.76 m²)*(18.5 m) = 394.24 m³.
So, the volume of the cylinder is approximately 394.2 cubic meters to the nearest tenth.
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