Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the c

2. Diameter of cylinder A is 7 cm, and the height is 14 cm. Diameter of cylinder B is 14 cm and height is 7 cm. Without doing any calculations can you suggest whose volume is greater? Verify it by finding the volume of both the cylinders. Check whether the cylinder with greater volume also has greater surface area?

Answers (1)

best_answer

Given the diameter of cylinder A = 7cm and the height = 14cm.

Also, the diameter of cylinder B = 14cm and height = 7cm.

We can easily suggest whose volume is greater without doing any calculations:

As volume is directly proportional to the square of the radius of cylinder and directly proportional to the height of the cylinder hence 

B has more Volume as compared to A because B has a larger diameter.

Verifying:

Volume of A :  \pi\times r^2\times height = \pi\times (\frac{7cm}{2})^2\times 14cm =539cm^3

and Volume of B :  \pi\times r^2\times height = \pi\times (\frac{14cm}{2})^2\times 7cm =1,078cm^3.

Hence clearly we can see that the volume of cylinder B is greater than the volume of cylinder A.

The cylinder B has surface area of  = 2\times \pi\times r(r+h) = 2\times \pi\times \frac{14cm}{2}(\frac{14}{2}+7) = 616cm^2.

and the surface area of cylinder A = 2\times \pi\times r(r+h) = 2\times \pi\times \frac{7cm}{2}\times (\frac{7}{2}+14) = 385cm^2.

The cylinder with greater volume also has greater surface area.

 

 

Posted by

Divya Prakash Singh

View full answer

Similar Questions

Trending Articles/News

anam-khan

JNVST 2024: NVS Class 6, 9 results out; documents required for admission
anam-khan

JNVST Class 6, 9 result 2024 likely tomorrow at navodaya.gov.in; cut-off marks, total seats
anam-khan

Navodaya Class 9 results 2024 likely by end of March; expected cut-offs

Latest Question