What is the radius of the cone?
Diameter = 8
Height = 12
Slant Height = 10
To find the radius of the cone, we can use the Pythagorean theorem.
The slant height of the cone forms a right triangle with the height and the radius. Therefore, we can use the Pythagorean theorem to find the missing side.
Using the formula: slant height^2 = height^2 + radius^2
10^2 = 12^2 + radius^2
100 = 144 + radius^2
Subtracting 144 from both sides:
radius^2 = 100 - 144
radius^2 = -44
Since the radius cannot be negative, we can conclude that there is no radius that would satisfy the given dimensions.