Surface Area and Volume- Exercise 13.1 questions 1 to 5- Easy to understand

Surface area and volume- An important topic of NCERT class 10th class but students feel this chapter is very difficult because they are not relating this concept in their daily routine. In our day-to-day life, we come across a number of solids made up of combinations of two or more of the basic solids. 

You may have seen an object a small test tube funnel. You would have used one in your science laboratory. This funnel is also a combination of a cylinder and a cone. Similarly, you may have seen some big and beautiful resorts made up of a combination of solids like a cylinder and hemisphere.

Surface Area of a Combination of Solids:

Let us consider the funnel seen above picture. How do we find the surface area of such a solid? We first try to see, if we can break it down into smaller problems, we have earlier solved. We can see that this solid is made up of a cylinder with a cone. It would look like what we have below diagram after we put the pieces all together.

If we consider the surface of the newly formed object, we would be able to see only the curved surfaces of the cone 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. This gives,

TSA of new solid = CSA of cone + CSA of cylinder 

where TSA, CSA stand for ‘Total Surface Area’ and ‘Curved Surface Area’ respectively.

Now, let us discuss the first exercise of the chapter.

Exercise 13.1

Question:1

 Question: 2

Question:3

Question:4

Question: 5

 You can also understand these questions from this video. 

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