Find the length of the cone.

Slant height = 13 cm

Diameter = 10 cm

3 answers

To find the length of the cone, we need to use the Pythagorean theorem. The slant height, diameter, and the height of the cone form a right triangle.

The radius of the cone is half of the diameter, so it is 10 cm/2 = 5 cm.

Let's call the height of the cone h.

Using the Pythagorean theorem, we have:

(slant height)^2 = (radius)^2 + (height)^2

Substituting the given values:

13^2 = 5^2 + h^2

169 = 25 + h^2

Subtracting 25 from both sides of the equation:

144 = h^2

Taking the square root of both sides:

12 = h

Therefore, the height of the cone is 12 cm.

The length of the cone is the slant height, which is given as 13 cm.
Given l=30 in., w=20 in., h=18 in. , and x=36.1 in., find the length of d. Round the answer to the nearest tenth.
Based on the given information, it seems that d is not directly related to the given dimensions (l, w, h, and x). To find the length of d, we would need additional information or a clear explanation of how d is related to the other measurements.