A cylinder has a base diameter of 8m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?
Question
A cylinder has a base diameter of 8m and a height of 6m. What is its volume in cubic m, to the nearest tenths place?
Solution 1
The volume of a cylinder is given by 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 of the base. The diameter is given as 8m, so the radius is half of that, which is 4m.
Step 2: Substitute the radius and the height into the formula. So, V = π(4m)²(6m).
Step 3: Calculate the volume. V = π(16m²)(6m) = 301.59 cubic meters to the nearest tenths place.
Solution 2
The volume of a cylinder is given by 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 of the base. The diameter is given as 8m, so the radius is half of that, which is 4m.
Step 2: Substitute the radius and the height into the formula.
V = π(4m)²(6m)
Step 3: Calculate the volume.
V = π(16m²)(6m) = 301.59 m³ to the nearest tenths place.
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