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Find the volume of a right circular cone that has a height of 7.8 m and a base with a diameter of 2.3 m. Round your answer to the nearest tenth of a cubic meter.

Question

Find the volume of a right circular cone that has a height of 7.8 m and a base with a diameter of 2.3 m. Round your answer to the nearest tenth of a cubic meter.

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Solution

Sure, here are the steps to find the volume of a right circular cone:

Step 1: Find the radius of the base. The diameter is given as 2.3 m, so the radius would be half of that, which is 1.15 m.

Step 2: Use the formula for the volume of a cone, which is (1/3)πr²h, where r is the radius and h is the height.

Step 3: Substitute the given values into the formula. So, the volume V = (1/3)π(1.15 m)²(7.8 m).

Step 4: Calculate the volume.

Step 5: Round your answer to the nearest tenth of a cubic meter.

Let's calculate:

V = (1/3) * π * (1.15 m)² * 7.8 m = 3.29 m³

So, the volume of the cone is approximately 3.3 cubic meters when rounded to the nearest tenth.

This problem has been solved

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