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.
A right circular cone is 3.6 m high and radius of its base is 1.6 cm. It is melted and recast into a right circular cone with radius of its base as 1.2 cm. Find its height. | |||
Right Option : A | |||
View Explanation |
The area of the base of a right circular cone is and its height is 15 cm. Find the volume of the cone. | |||
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 |
Third 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 ...
I 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
Abhyas 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.
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.
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
Abhyas 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...
Abhyas is good institution and a innovative institute also. It is a good platform of beginners.Due to Abhyas,he has got knoweledge about reasoning and confidence.My son has improved his vocabulary because of Abhyas.Teacher have very friendly atmosphere also.
My 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.
When 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.
About 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.
Usually 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...
In 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...
The experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
Abhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
My 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.
A 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.
It 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.
One 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.
It 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.
Being 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.