Find the volume of a cone with a base radius of 3m and a height of 10m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.3m10m
Question
Find the volume of a cone with a base radius of 3m and a height of 10m.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.3m10m
Solution
The volume V of a cone can be found using the formula V = 1/3 * π * r² * h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14.
Step 1: Substitute the given values into the formula. V = 1/3 * π * r² * h V = 1/3 * 3.14 * (3m)² * 10m
Step 2: Square the radius. V = 1/3 * 3.14 * 9m² * 10m
Step 3: Multiply the values. V = 1/3 * 3.14 * 90m³ V = 94.2m³
So, the volume of the cone is 94.2 cubic meters.
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