Question

He roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone.

What is the slant height of the roof?

Answer 1

The slant height is 20m.

Step-by-step explanation:

Formula for slant height = sqrt(Height^2 + Radius^2)

Using this, we can plug in the given values and solve:

`√(16^2+12^2) = √(400) \\`

Factor the number:

`√(400) = √(20^2)`

Apply the radical rule (
`√(a^2) =a, a\geq 0`):

`√(20^2) =20`

In conclusion, 20m is the slant height.

hope this helps!