A cone has a radius of 6 m and a height of 24 m. What is the volume of the cone in terms of π? 864π m3 432π m3 288π m3 144π m3
Question
A cone has a radius of 6 m and a height of 24 m. What is the volume of the cone in terms of π?
- 864π m³
- 432π m³
- 288π m³
- 144π m³
Solution
The volume V of a cone can be found using the formula V = 1/3πr²h, where r is the radius and h is the height.
Given that the radius r = 6 m and the height h = 24 m, we can substitute these values into the formula:
V = 1/3π(6 m)²(24 m) = 1/3π(36 m²)(24 m) = 1/3π(864 m³) = 288π m³.
So, the volume of the cone is 288π m³.
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