what is the radius of the cone if the slant height is 65 ft and the height is 56 ft
To find the radius of the cone, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the slant height is the hypotenuse, and the height and radius form the other two sides.
Let's denote the radius of the cone as r.
Using the Pythagorean theorem, we have:
r^2 + 56^2 = 65^2
r^2 + 3136 = 4225
r^2 = 4225 - 3136
r^2 = 1089
Taking the square root of both sides, we get:
r ≈ √1089
r ≈ 33
Therefore, the radius of the cone is approximately 33 ft.