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Exercise Ex Find the surface area of the resulting cuboid. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm.
Find the inner surface area of the vessel. You can also download the free PDF of Ex A toy is in the form of a cone of radius 3. The total height of the toy is Find the total surface area of the toy. A cubical block of side 7 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 d 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.
The length of the entire capsule is 14 mm and the diameter of the capsule is 5 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 2.
Also, find the cost of the canvas of the tent at the rate of Rs per m 2. Note that the base of the tent will not be covered with canvas. From a solid cylinder whose height is 2. Find the total surface area of the remaining solid to the nearest cm 2. 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 is 10 cm, and its base is of radius 3. The surface area of a solid which is a combination of two or more solids is calculated by adding the surface areas of the individual solids which are visible in the new solid formed.
For Example: If we consider the surface of the newly formed object as given in the figure above, we would be able to see only the curved surfaces of the two hemispheres and the curved surface of the cylinder.
So, the total surface area of the new solid is the sum of the curved surface areas of each of the individual parts. Whenever solid is formed by combining two or more solids, then the amount of matter present in the new solid is equal to the sum of amounts of matter in the constituting solids. When we slice or cut through a cone with a plane parallel to its base see below figure and remove the cone that is formed on one side of that plane, the part that is now left over on the other side of the plane is called a frustum of the cone.
Solution: Ex RD Sharma Class 12 Solutions. Watch Youtube Videos.
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