Question

the legs on a cone are 9 and 8

What is the slant height of the cone?

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the legs of the cone are the two sides of the right-angled triangle and the slant height is the hypotenuse.

Let's denote the slant height as "l", and the legs of the cone as 9 and 8.

Using the Pythagorean theorem:
l^2 = 9^2 + 8^2
l^2 = 81 + 64
l^2 = 145

Taking the square root of both sides to solve for l, we get:
l = √145
l ≈ 12.04

Therefore, the slant height of the cone is approximately 12.04 units.