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it had every important question which would come in exam

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it had every important question which would come in exam Studying can be hard, especially when you find yourself trying to maintain your social life, earn some money and still get good grades in school. But there is a way to combine earning money and getting good grades in school, and that’s by selling your study notes. Table of contents Getting better grades Before you even think about selling your notes, you need to understand why making them is so important. Making study notes during classes is the best way to remember the essential things you need to know to ace the exam, because writing is proven to be the best method to remember things. Also, after class, you probably check whether everything in your notes is written down clearly, which means you have already repeated the curriculum twice.Before you even think about selling your notes, you need to understand why making them is so important. Making study notes during classes is the best way to remember the essential things you need to know to ace the exam, because writing is proven to be the best method to remember things. Also, after class, you probably check whether everything in your notes is written down clearly, which means you have already repeated the curriculum twice. Why sell my notes? Selling notes is an excellent way to earn some extra money. Basically, you get paid for the hard work you already executed. It’s more fun than the average student side job. If you become a top seller, you might even be able to quit your side job! On Stuvia, top sellers of study documents earn around $400 each month. Sounds good, right? Besides this, selling notes can teach you some entrepreneurial skills, and if you’re up and running making money, you can always use it to buy notes for that one specific course you really dislike. How to effectively make study notes Digital or handwritten notes? First, you have to decide for yourself whether you’d like to use your laptop or you prefer using a notebook. Note, however, that selling handwritten notes can be harder than selling well-structured digital notes. Digital notes are easier to restructure in terms of layout, structure and chronological order. Digital notes can also be uploaded more easily in order to sell them. Handwritten notes can be convenient if you want to use them yourself to study for the exam. Focus on key words and concepts Only the most important details should make the cut. This applies to taking notes during college as well summarizing books. In the end, only the key points – such as names, theories, definitions and dates – should be included. Keep in mind what you want to learn and what you need to remember. This helps you get a grip on the information. Taking notes from a textbook After your class, you want to combine the information that you received from the professor with the information from the textbook. It’s also handy to scan what you’re about to read. Now start reading and search for bold words, colored words and bullet points. Use a marker to highlight these, and start highlighting pieces of text that are important as well. Make the document as clear and appealing as possible If you are writing the notes, make sure you write clearly and start a new page after each subject/chapter. Often it also helps to use symbols and diagrams. The final tip is to use the method of color coding. Your brain will link color to memory, which makes it easier to remember the notes for your exam. How to become a top seller To really stand out from the crowd, there are a few more steps you can take. 1. Offer a document for free People love free stuff, so make sure to offer at least one document for free. This way you give them a reason to take notice, and it will definitely boost your ratings! 2.Keep your prices affordable Most Stuvia users are students. It’s a well-known fact that students have a low budget, so keep this in mind when setting your prices. You can always raise your prices at a later stage if the documents turn out to be very popular. 3. Inform your audience Great examples of places to share links are Facebook, Twitter, Google+, Pinterest, GroupMe, email, and posting on your student noticeboard. As well as social media, word of mouth is a very valuable tool to promote your documents. 4.Get creative Our top sellers are super creative! For instance, some of them add benefits, such as additional help with assignments, to distinguishBefore you even think about selling your notes, you need to understand why making them is so important. Making study notes during classes is the best way to remember the essential things you need to know to ace the exam, because writing is proven to be the best method to remember things. Also, after class, you probably check whether everything in your notes is written down clearly, which means you have already repeated the curriculum twice. Why sell my notes? Selling notes is an excellent way to earn some extra money. Basically, you get paid for the hard work you already executed. It’s more fun than the average student side job. If you become a top seller, you might even be able to quit your side job! On Stuvia, top sellers of study documents earn around $400 each month. Sounds good, right? Besides this, selling notes can teach you some entrepreneurial skills, and if you’re up and running making money, you can always use it to buy notes for that one specific course you really dislike. How to effectively make study notes Digital or handwritten notes? First, you have to decide for yourself whether you’d like to use your laptop or you prefer using a notebook. Note, however, that selling handwritten notes can be harder than selling well-structured digital notes. Digital notes are easier to restructure in terms of layout, structure and chronological order. Digital notes can also be uploaded more easily in order to sell them. Handwritten notes can be convenient if you want to use them yourself to study for the exam. Focus on key words and concepts Only the most important details should make the cut. This applies to taking notes during college as well summarizing books. In the end, only the key points – such as names, theories, definitions and dates – should be included. Keep in mind what you want to learn and what you need to remember. This helps you get a grip on the information. Taking notes from a textbook After your class, you want to combine the information that you received from the professor with the information from the textbook. It’s also handy to scan what you’re about to read. Now start reading and search for bold words, colored words and bullet points. Use a marker to highlight these, and start highlighting pieces of text that are important as well. Make the document as clear and appealing as possible If you are writing the notes, make sure you write clearly and start a new page after each subject/chapter. Often it also helps to use symbols and diagrams. The final tip is to use the method of color coding. Your brain will link color to memory, which makes it easier to remember the notes for your exam. How to become a top seller To really stand out from the crowd, there are a few more steps you can take. 1. Offer a document for free People love free stuff, so make sure to offer at least one document for free. This way you give them a reason to take notice, and it will definitely boost your ratings! 2.Keep your prices affordable Most Stuvia users are students. It’s a well-known fact that students have a low budget, so keep this in mind when setting your prices. You can always raise your prices at a later stage if the documents turn out to be very popular. 3. Inform your audience Great examples of places to share links are Facebook, Twitter, Google+, Pinterest, GroupMe, email, and posting on your student noticeboard. As well as social media, word of mouth is a very valuable tool to promote your documents. 4.Get creative Our top sellers are super creative! For instance, some of them add benefits, such as additional help with assignments, to distinguishStudying can be hard, especially when you find yourself trying to maintain your social life, earn some money and still get good grades in school. But there is a way to combine earning money and getting good grades in school, and that’s by selling your study notes. Table of contents Getting better grades Before you even think about selling your notes, you need to understand why making them is so important. Making study notes during classes is the best way to remember the essential things you need to know to ace the exam, because writing is proven to be the best method to remember things. Also, after class, you probably check whether everything in your notes is written down clearly, which means you have already repeated the curriculum twice.

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Escuela, estudio y materia

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Subido en
20 de marzo de 2023
Número de páginas
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Escrito en
2022/2023
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Examen
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CHAPTER 12


SURFACE AREAS AND VOLUMES

(A) Main Concepts and Results
• The surface area of an object formed by combining any two of the basic solids,
namely, cuboid, cone, cylinder, sphere and hemisphere.
• The volume of an object formed by combining any two of the basic solids
namely, cuboid, cone, cylinder, sphere and hemisphere.
• The formulae involving the frustum of a cone are:
1
(i) Volume of the frustum of the cone = π h[ r12 + r22 + r1r2 ]
3
(ii) Curved surface area of the frustum of the cone = π(r1+r2)l,
(iii) Total surface area of the frustum of the solid cone
= πl(r1+r2)+ π r12 + π r22 , where l = h 2 + ( r1 – r2 ) 2 ,
h = vertical height of the frustum, l = slant height of the frustum and
r1 and r2 are radii of the two bases (ends) of the frustum.
• Solid hemisphere: If r is the radius of a hemisphere, then
curved surface area = 2πr2
2 3
total surface area = 3πr2, and volume = π r
3
4
• (
3 3
)
Volume of a spherical shell = π r1 – r2 , where r1 and r2 are respectively its
3
external and internal radii. 22
Throughout this chapter, take π = , if not stated otherwise.
7




03/05/18

,SURFACE AREAS AND VOLUMES 137

(B) Multiple Choice Questions :
Choose the correct answer from the given four options:

Sample Question 1 : A funnel (see Fig.12.1) is the
combination of

(A) a cone and a cylinder (B) frustum of a cone and a cylinder
(C) a hemisphere and a cylinder (D) a hemisphere and a cone
Solution : Answer (B)

Sample Question 2 : If a marble of radius 2.1 cm is put into a cylindrical cup full of water
of radius 5cm and height 6 cm, then how much water flows out of the cylindrical cup?
(A) 38.8 cm3 (B) 55.4 cm3 (C) 19.4 cm3 (D) 471.4 cm3
Solution : Answer (A)

Sample Question 3 : A cubical ice cream brick of edge 22 cm is to be distributed
among some children by filling ice cream cones of radius 2 cm and height 7 cm upto its
brim. How many children will get the ice cream cones?
(A) 163 (B) 263 (C) 363 (D) 463
Solution : Answer (C)

Sample Question 4 : The radii of the ends of a frustum of a cone of height h cm are
r1 cm and r2 cm. The volume in cm3 of the frustum of the cone is
1 1
(A) π h [ r12 + r22 + r1 r2 ] (B) π h [ r12 + r22 – r1r2 ]
3 3
1 1
(C) π h [ r12 – r22 + r1r2 ] (D) π h [ r12 – r22 – r1r2 ]
3 3
Solution : Answer (A)
Sample Question 5 : The volume of the largest right circular cone that can be cut out
from a cube of edge 4.2 cm is
(A) 9.7 cm3 (B) 77.6 cm3 (C) 58.2 cm3 (D) 19.4 cm3
Solution : Answer (D)




03/05/18

, 138 EXEMPLAR PROBLEMS

EXERCISE 12.1
Choose the correct answer from the given four options:
1. A cylindrical pencil sharpened at one edge is the combination of
(A) a cone and a cylinder (B) frustum of a cone and a cylinder
(C) a hemisphere and a cylinder (D) two cylinders.
2. A surahi is the combination of
(A) a sphere and a cylinder (B) a hemisphere and a cylinder
(C) two hemispheres (D) a cylinder and a cone.
3. A plumbline (sahul) is the combination of (see Fig. 12.2)




(A) a cone and a cylinder (B) a hemisphere and a cone
(C) frustum of a cone and a cylinder (D) sphere and cylinder

4. The shape of a glass (tumbler) (see Fig. 12.3) is usually in the form of
(A) a cone (B) frustum of a cone
(C) a cylinder (D) a sphere




03/05/18
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