what is the slant height of the cone if it has a height of 9 ft and a radius of 8 ft
To find the slant height of the cone, we can use the Pythagorean theorem.
The slant height (l) can be found using the formula:
l = √(r^2 + h^2)
Given that the radius (r) is 8 ft and the height (h) is 9 ft, we can plug these values into the formula:
l = √(8^2 + 9^2)
l = √(64 + 81)
l = √145
l ≈ 12.04 ft
Therefore, the slant height of the cone is approximately 12.04 ft.