Volume of Hollow Cylinder
Volume of Hollow Cylinder
Let R and r be the external and internal radii of a hollow cylinder and h be its height as shown in the following figure. Then,
Volume of the material = Exterior volume - Interior Volume
Illustration: A cylindrical road roller made of iron is 1 m wide. Its inner diameter is 54 cm and thickness of the iron sheet rolled into the road roller is 9 cm. find the weight of the roller if 1 c.c of iron weighs 8 gm.
Solution: The width of the road roller is 1 m i.e.100 cm
So, Height(Length) of the cylinder = 100 cm
Inner radius of the cylinder
Thickness of the iron sheet = 9 cm
So, Outer radius of the cylinder = R = (27 + 9) = 36 cm
Thus, volume of the iron sheet used =
As we know that Weight = Volume X Density
So, Weight of the roller = 178038 X 8 gms
A hollow cylindrical pipe is 21 dm long. Its outer and inner diameters are 8 cm and 6 cm respectively. Find the volume of the copper used in making the pipe. | |||
| Right Option : B | |||
| View Explanation | |||
The thickness of a hollow wooden cylinder is 3 cm. It is 35 cm long and its inner radius is 12 cm. Find the volume of the wood required to make the cylinder, assuming it is open at either end. | |||
| Right Option : C | |||
| View Explanation | |||
A cylinder tube, open at both ends, is made of metal. The internal diameter of the tube is 10.4 cm and its length is 25 cm. The thickness of the metal is 8 mm everywhere . Calculate the volume of the metal. | |||
| Right Option : B | |||
| View Explanation | |||
Students / Parents Reviews [10]
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.
Om Umang
10thAbout 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
8thAbhyas 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
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
8thMy 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
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
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.
Cheshta
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
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
8thMy 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.
