if the height is 99 ft and the slant height is 101 ft how long is the radius
In a right circular cone, the slant height, height, and radius are related by the Pythagorean theorem.
According to the Pythagorean theorem, the square of the slant height is equal to the sum of the squares of the height and the radius.
Given that the height is 99 ft (h = 99 ft) and the slant height is 101 ft (l = 101 ft), we can use these values to find the radius.
l^2 = h^2 + r^2
101^2 = 99^2 + r^2
10201 = 9801 + r^2
Since we want to find the radius, we can rearrange the equation as follows:
r^2 = 10201 - 9801
r^2 = 400
Taking the square root of both sides, we get:
r ≈ √400
r ≈ 20 ft
Therefore, the radius is approximately 20 feet.