What is the radius of the cone?

Question

Diameter = 8
Height = 12
Slant Height = 10

Answer 1

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.