Lateral Surface Area of Cone
Lateral Surface Area of Cone
Lateral Surface Area of Cone: The curved surface area of a cone is also called the lateral surface area. Lateral surface area of cone
where r = radius of the base of the cone and l = slant height of the cone and
Illustration: The circumference of the base of a 10m height conical tent is 44m. Calculate the length of canvas used in making the tent if width of canvas is 2m.
Solution: Given: Circumference of cone = 44 m and h =10m and breadth = 2 m
So, we have, = 44m ..............(i)
So, Using equation (i), we have
As we know Area of Canvas = Curved Surface Area of Cone
Area of Canvas = length x breadth = length x 2 ...................(ii) [As breadth = 2 m]
= 12.2 m
Now, using equation (ii), we have
Area of Canvas = length x 2
length
Length of canvas =
Illustration: The radius and slant height of a cone are in the ratio 4 : 7. If its curved surface area is 792 sq cm, find its radius. (Use )
Solution: Let r cm be the radius and l cm the slant height of the cone. Then,
r : l = 4 : 7
Let the common factor = x
cm and
cm ........................(i)
Now, curved surface area = 792 sq cm
But x = - 3 is not possible.
Hence, x = 3
Using x = 3 in equation (i), we have
cm
Hence radius of the base of the cone is 12 cm.
The radius of a cone is 7 cm and area of curved surface is 176 sq cm. Find the slant height. | |||
| Right Option : C | |||
| View Explanation | |||
The area of the curved surface of a cone is 60 | |||
| Right Option : B | |||
| View Explanation | |||
The radius of the cone is 3 cm and vertical height is 4 cm. Find the area of the curved surface. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
It has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
