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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 10th Class Ka Science Book Ncert Key of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.
Chapter 15 - Probability. You can download on your device or print out these solutions for quick and easy reference during exam times. In the introduction part of Class 10 Chapter 13, you would recall what you studied in class IX about solids like a cube, cylinder, cuboid, etc. You had learned the formulas for Ncert Solutions For Class 10th Science In Hindi Medium Key finding the surface area and volumes of these solids earlier.
We come across multiple objects in our daily lives that are a combination of many of these shapes. For example, a truck carrying oil which is in the shape of a cylinder that has 2 hemispheres at its end.
In the Surface Area Volume Class 10 you would learn how to calculate the surface area and volumes of such solids which are a combination of two or more solid shapes. The outer part of any 3-D figure is the surface area of that figure. To find out the surface area of a solid which is a combination of solid shapes, we would need to find out the surface area of individual solid shapes separately to find the surface area of the entire 3-D solid shape.
Let us clarify this with an example:. The solid in the figure above is a combination of a cone, cylinder, and hemisphere.
The volume of solids by joining two or more basic solids is the sum of the volumes of individual solids. Let us understand this with an example:. The solid in the above figure is made up of two solids, i. So the total volume of the solid is obtained by adding up the volume of these two constituent solids.
When we convert a solid from one form to another by the method of melting or remoulding, then the volume of the solid stays the same, despite the change in shape. We will see an example to understand why:.
Solution - From the theorem on volumes, we know that volume of the water in the cylinder and the volume of the water in the cuboid would be the same.
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