Volume of Cone
Volume of Cone
Cone: A cone is a three-dimensional figure with one circular base. A curved surface connects the base and the vertex.
Volume of Cone: .The volume V of a cone with radius r is one-third the area of the base B times the height h.
Volume of the cone of radius r and height h =
Illustration: Find the volume of a right circular cone 1.02m high , if the radius of its base is 28 cm.
Solution: We know that the volume V of a right circular cone of radius r and height h is given . Here, r = 28cm and h = 1.02 m = 1.02 X 100 cm = 102 cm
Illustration: A conical tent is 9 m high and the radius of its base is 12 m.
(i) What is the cost of the canvas required to make it, if a square metre canvas costs Rs 10?
(ii) How many persons can be accommodated in the tent, if each person requires 2 square metre on the ground and of space to breath in?
Solution: We have,
r = Radius of the base of the conical tent = 12 m
h = Height of the conical tent = 9 m
l = Slant height of the conical tent =
(i) Area of the lateral surface =
So, total cost of the canvas = Rs(565.2 X 10) = Rs 5652
(ii) Area of the base of the conical tent =
As each person requires 2 sq. metres of floor area.
So, max number of persons who will have enough space on the ground
Also, Volume of the conical tent
Volume of the conical tent
Volume of the conical tent = 1356.48
We have, air space required person
So, number of persons who will have enough air space to breath in
Between 226 and 90, the smaller number is 90.
Hence 90 persons can be accomodated.
Find the volume of the right circular cone with radius 6 cm, height 7 cm: | |||
| Right Option : D | |||
| View Explanation | |||
Find the volume of the right circular cone with radius 3.5 cm, height 12 cm | |||
| Right Option : C | |||
| View Explanation | |||
The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes. | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [20]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thAbhyas 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
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...
Shreya Shrivastava
8thAbout 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.
Shreya Shrivastava
8thA 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
7thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thAbhyas 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
10thIn 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
10thBeing 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
8thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thIt 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
8thIt 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
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
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
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.
Shivam Rana
7thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thThird 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 ...
Ayan Ghosh
8thMy experience with Abhyas Academy has been very good. When I was not in Abhyas whenever teacher ask questions I could not speak it confidently but when I came in Abhyas, my speaking skills developed and now I am the first one to give the answer of teachers question.
Upmanyu Sharma
7thIt 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.
