MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
Two identical solid hemispheres, each of radius 6 cm, are joined together to form a sphere. This sphere is then placed centrally on the base of a right circular cone whose base radius is 6 cm and slant height is 10 cm. Calculate the total surface area of the combined figure that is exposed to air, excluding the circular area of contact between the sphere and the cone. (Use π=3.14.)