To find the radius of the cone, we can use the Pythagorean theorem. The slant height of the cone can be thought of as the hypotenuse of a right triangle, with the height and the radius as the other two sides.
Using the Pythagorean theorem, we have:
(radius)^2 + (height)^2 = (slant height)^2
Substituting the given values:
(radius)^2 + 12^2 = 10^2
Simplifying the equation:
(radius)^2 + 144 = 100
Subtracting 144 from both sides:
(radius)^2 = 100 - 144
(radius)^2 = -44
Since we cannot have a negative radius, it is not possible to determine the radius of the cone using the given information.
Use the image to answer the question.
A cone shows a height marked as 12 and a diameter marked as 8, both indicated with perpendicular dotted lines. The slant height is marked as 10.
What is the radius of the cone?
1 answer
1 answer