what's the radius of a cone with a 12m and height 10 slant height

5 answers

To find the radius of a cone, we can use the Pythagorean theorem, which relates the radius (r), height (h), and slant height (l) of a cone.

The Pythagorean theorem for a cone is given by:
r^2 + h^2 = l^2

Given:
Height (h) = 10 m
Slant height (l) = 12 m

Substituting the given values in the Pythagorean theorem equation:
r^2 + 10^2 = 12^2
r^2 + 100 = 144
r^2 = 144 - 100
r^2 = 44

Taking the square root of both sides to isolate r:
r = sqrt(44)
r ≈ 6.63

Therefore, the radius of the cone is approximately 6.63 meters.
wrong
Apologies for the incorrect response.

To find the radius of a cone, we can use the formula for the slant height:

l^2 = r^2 + h^2

Given:
Height (h) = 10 m
Slant height (l) = 12 m

Substituting the given values in the formula:
12^2 = r^2 + 10^2
144 = r^2 + 100
r^2 = 144 - 100
r^2 = 44

Taking the square root of both sides to isolate r:
r = sqrt(44)
r ≈ 6.63

Therefore, the radius of the cone is approximately 6.63 meters.
The point on a cone where two or more line segments meet is called the
The point on a cone where two or more line segments meet is called the vertex.