<prompt> Calculate the surface area of a cone with a radius of 5 and a height of 10.  <response>: The formula to calculate the surface area of a cone is as follows: Surface area of a cone πrr lWhere:r is the radius of the conel is the slant height of the coneFirst, lets calculate the slant height of the cone using Pythagorean Theorem:l r2 h2l 52 102l 25 100l 125l 11.18Now, lets compute the surface area of the cone:Surface area πrr lSurface area π55 11.18Surface area π516.18Surface area 254.5 square unitsIn conclusion, the surface area of a cone with a radius of 5 and a height of 10 is approximately 254.5 square units. 