A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends (see figure). The length of the entirė capsule is 14 mm and the diameter of the capsule 5 mm. Find its surface area.
A tent is in the shape of a cylinder surrounded by a conical top. If the height and diameter of the cylindrical part are and respectively, and the slant height of the top is ,find the area of the canvas used for making tent. Also find the cost of the canvas of the tent at the rate of (Note that the base of the tent will not be covered with canvas.)
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in figure. If the height of the cylinder isand its base is of radius, find the total surface area of the article.