Find the lateral area and surface area for a right cone whose slant height forms a 45 degree angle with the base whose radius is 8 mm.
surface area for a right cone whose slant height forms a 45 degree angle with the base whose radius is 4 in .
To find the lateral area and surface area of a right cone, we need to first find the slant height of the cone using the given information.
The slant height of the cone can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides.
In this case, one side is the radius of the base, which is 8 mm, and the other side is the height of the cone. However, we do not have the height of the cone given in the problem. So, we cannot find the exact slant height or the lateral area and surface area without it.
If you have the height of the cone, please provide that information so that I can help you further.