what is the slant height of a cone with a radius of 4 and a height of 9

Answer 1

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

The slant height (l) of a cone can be found using the formula:

l = √(r^2 + h^2)

Where:
l = slant height
r = radius
h = height

Given:
r = 4
h = 9

l = √(4^2 + 9^2)
l = √(16 + 81)
l = √97
l ≈ 9.85

Therefore, the slant height of the cone is approximately 9.85 units.