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Volume of a Right Circular Cone: Formula and Calculation
Published on February 27, 2026
Geometry
Calculate the volume of a right circular cone given its height and base diameter, rounding to the nearest tenth. The formula V = (1/3) * pi * r^2 * h is used, where r is the radius derived from the diameter.
Question
Find the volume of a right circular cone that has a height of 11.2 m and a base with a diameter of 8.8 m. Round your answer to the nearest tenth of a cubic meter.
Answer
Here’s how to solve the problem step-by-step:
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Identify the given information:
- Height of the cone,
m - Diameter of the base,
m
- Height of the cone,
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Find the radius of the base:
The radius is half of the diameter.
m -
Recall the formula for the volume of a cone:
The volumeof a right circular cone is given by:
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Substitute the values into the formula:
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Calculate the volume:
-
Round the answer to the nearest tenth:
m
Final Answer: The final answer is