Find the length of the cone.
Slant height = 13 cm
Diameter = 10 cm
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.
To find the length of the cone, we can use the Pythagorean theorem. The slant height and the radius of the cone form a right triangle, where the slant height is the hypotenuse and the radius is one of the legs.
Given that the diameter of the cone is 10 cm, we can find the radius by dividing the diameter by 2:
Radius = Diameter/2 = 10 cm / 2 = 5 cm.
Now we have the radius and the slant height. We can use the Pythagorean theorem equation:
Hypotenuse^2 = Leg1^2 + Leg2^2.
In this case, the hypotenuse is the slant height (13 cm), Leg1 is the radius (5 cm), and Leg2 is the length of the cone (which we want to find).
Plugging in the values, we have:
13^2 = 5^2 + Length^2
169 = 25 + Length^2
Subtracting 25 from both sides:
Length^2 = 144
Taking the square root of both sides:
Length = √144 = 12 cm.
Therefore, the length of the cone is 12 cm.