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.
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.
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