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 is equal to the sum of the squares of the other two sides.
In this case, the height of the cone is one side, the slant height is the hypotenuse, and the radius is the other side that we need to find.
Let's denote the radius of the cone as "r". According to the Pythagorean theorem, we have:
r^2 + 99^2 = 101^2
r^2 + 9801 = 10201
r^2 = 10201 - 9801
r^2 = 400
Taking the square root of both sides, we get:
r = √400 = 20
Therefore, the radius of the cone is 20 feet long.
how many feet long is the radius of the cone. the height is 99ft and the slant is 101ft. what is the radius?
1 answer