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 the cone is 3 cm and vertical height is 4 cm. Find the area of the curved surface. | |||
| Right Option : A | |||
| View Explanation | |||
The slant height and base diameter of a conical tomb are 25 m and 14 m respectively. Find the cost of white-washing its curved surface at the rate of Rs 210 per 100 | |||
| Right Option : A | |||
| View Explanation | |||
A corn cob, shaped somewhat like a cone, has the radius of its broadest end as 2.1 cm and length as 20 cm. If each 1 | |||
| Right Option : C | |||
| View Explanation | |||
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10thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
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Aman Kumar Shrivastava
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
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Manish Kumar
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8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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8thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thOne 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
10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
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10thMy 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.
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7thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
