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Notes for Ch 13 Surface Areas and Volumes| Class 9th Maths

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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. Chapter 6 - Triangles. Chapter 7 - Coordinate Geometry. Chapter 8 - Introduction to Trigonometry. Chapter 9 - Some Applications of Trigonom. Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles.

Chapter 14 - Statistics. 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 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:.

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