Find the volume of a cone with slant height of
41
41 feet and a radius of
40
40 feet. Use 3.14 for π. (The cone is not drawn to scale.)
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height (or slant height in this case).
Given that the radius is 40 feet and the slant height is 41 feet, we need to find the height of the cone.
Using the Pythagorean theorem,
h = sqrt(41^2 - 40^2)
h = sqrt(1681 - 1600)
h = sqrt(81)
h = 9 feet
Now, we can plug the values into the formula for the volume of the cone:
V = (1/3) * π * 40^2 * 9
V = (1/3) * 3.14 * 1600 * 9
V = (1/3) * 5024
V = 1674.67 cubic feet
Therefore, the volume of the cone is approximately 1674.67 cubic feet.