Find the height and volume of a cone with slant height of 41 feet and a radius of 40 feet. Use 3.14 for pi.

To find the height of the cone, we can use the Pythagorean theorem.

The slant height, radius, and height of the cone form a right triangle. The slant height (hypotenuse) is 41 feet and the radius (base of the triangle) is 40 feet. Let's use h to represent the height of the cone.

Using the Pythagorean theorem:
h^2 + 40^2 = 41^2
h^2 + 1600 = 1681
h^2 = 1681 - 1600
h^2 = 81
h = √81
h = 9 feet

Therefore, the height of the cone is 9 feet.

To find the volume of the cone, we can use the formula:
Volume = (1/3) * π * r^2 * h
Volume = (1/3) * 3.14 * 40^2 * 9
Volume = (1/3) * 3.14 * 1600 * 9
Volume = (1/3) * 45216
Volume = 15072 cubic feet

Therefore, the volume of the cone is 15072 cubic feet.