Volume of cylinder
Volume of cylinder
Volume of A Cylinder: Volume of Cylinder = Measure of the space occupied by the cylinder
= The area of each circular sheet x Height
=
Thus, Volume of a right circular cylinder = Area of the base x Height =
Illustration: Find the volume of a right circular cylinder, if the radius of its base and height are 7 cm and 15 cm respectively.
Solution: We know that, Volume of cylinder = . Here, r = 7cm and h = 15cm
Volume of cylinder
Illustration: A lead pencil consists of a cylinder of wood with a solid cylinder of graphite filled into it. The diameter of the pencil is 7mm, the diameter of the graphite is 1 mm and the length of the pencil is 14 cm. Find the:
(i) Volume of the graphite
(ii) Volume of the wood
(iii) The weight of the whole pencil, if the specific gravity of the wood is and that of the graphite is
.
Solution: We have,
Diameter of the graphite cylinder = 1 mm =
So, radius of the graphite cylinder
Length of the graphite cylinder = 14 cm
Volume of the graphite cylinder
(ii) We have,
Diameter of the pencil = 7 mm
So, radius of pencil
Length of pencil = 14 cm
Volume of the pencil
Volume of the wood
(iii) We have,
A rectangular sheet of paper, 36 cm x 22 cm, is rolled along its length to form a cylinder. Then the volume of cylinder formed is: | |||
| Right Option : A | |||
| View Explanation | |||
If the radius of the base of a right circular cylinder, is halved keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original. | |||
| Right Option : B | |||
| View Explanation | |||
A soft drink is available in two packs: (1) Plastic can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm (2) Plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much? | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [20]
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
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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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9thAbout 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.
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Archit Segal
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Ayan Ghosh
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...
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Shivam Rana
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Anika Saxena
8thThird 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
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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
10thWe 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.
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8thIt 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
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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.
