area of the vessel. . A toy is in the form of a cone of radius . cm mounted on a hemisphere of same radius.
The total height of the toy is . cm. Find the total surface area of the toy. .
A cubical block of side cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid. .
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 Fig.
. ). The length of the entire capsule is mm and the diameter of the capsule is mm. Find its surface area.
. A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are . m and m respectively, and the slant height of the top is .
m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of ` per m . (Note that the base of the tent will not be covered with canvas.) . From a solid cylinder whose height is .
cm and diameter . cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm . .
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in Fig. . . If the height of the cylinder is cm, and its base is of radius .
cm, find the total surface area of the article. . Volume of a Combination of Solids In the previous section, we have discussed how