if the radius is 12 ft and the height is 35ft how long is the slant height

To find the slant height of a cone, you can use the Pythagorean theorem.

The slant height (s) can be found by using the formula:

s = √(r^2 + h^2)

where r is the radius and h is the height.

Substituting the given values:

s = √(12^2 + 35^2)
s = √(144 + 1225)
s = √(1369)
s = 37 ft

Therefore, the slant height of the cone is 37 ft.