Find the length of the cone.
slant height= 13cm
radius= 10cm
To find the length of the cone, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle, with the radius as one leg. Let's call the length of the cone "l".
Using the Pythagorean theorem:
l^2 = r^2 + h^2
Substituting the given values:
l^2 = 10^2 + 13^2
l^2 = 100 + 169
l^2 = 269
Taking the square root of both sides, we find:
l ≈ 16.38 cm
Therefore, the length of the cone is approximately 16.38 cm.