Find the volume of a cone with a height of 6ft and a base diameter of 10ft.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.
Question
Find the volume of a cone with a height of 6ft and a base diameter of 10ft.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit in your answer.
Solution
To find the volume of a cone, you can use the formula: V = 1/3 * π * r² * h
Given:
- The diameter of the base is 10ft, so the radius (r) is half of the diameter, which is 5ft.
- The height (h) of the cone is 6ft.
- π is approximately 3.14.
Substitute these values into the formula:
V = 1/3 * 3.14 * (5ft)² * 6ft V = 1/3 * 3.14 * 25ft² * 6ft V = 1/3 * 3.14 * 150ft³ V = 157ft³
So, the volume of the cone is 157 cubic feet.
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