Guys can u please tell some or the other kind of the tricks which may help me in checking the answers of surface areas and volumes....I am always confused about the answer please help me out ...
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Checking the answers? During a test or an exam? Don't you think that'll be considered as cheating?
These type of questions like, finding the volume or finding the area; finding, that means you have to bring out an answer by yourself. If it was a question to prove something or using a result to find the answer for the other, then there could've been many ways. But you can't do anything in this case. That's what most of the students are not able to understand. But I can try to help you the best.
Most probably there can be calculation mistake. For that, you require rechecking every calculation you make.
If you find difficulty in remembering the formulas, you can just understand the methods of their derivation.
For example, a frustum. It's basically a cone cut from the top.
The volume of a cone is one-third of pi times the height times the radius squared.
Now the volume of the frustum. It's one-third of pi times the height times the sum of r squared, R squared and r times R.
There is a similarity. Just some differences in the radius part. Because the frustum has two circular faces. So you can let the cone formula to be remembered and derive the frustum formula from it.
That's how you can relate the others.
If ever get stuck, try drawing a diagram for yourself to understand. It helps a lot.
That's it for me. Wishes for the exams.
These type of questions like, finding the volume or finding the area; finding, that means you have to bring out an answer by yourself. If it was a question to prove something or using a result to find the answer for the other, then there could've been many ways. But you can't do anything in this case. That's what most of the students are not able to understand. But I can try to help you the best.
Most probably there can be calculation mistake. For that, you require rechecking every calculation you make.
If you find difficulty in remembering the formulas, you can just understand the methods of their derivation.
For example, a frustum. It's basically a cone cut from the top.
The volume of a cone is one-third of pi times the height times the radius squared.
Now the volume of the frustum. It's one-third of pi times the height times the sum of r squared, R squared and r times R.
There is a similarity. Just some differences in the radius part. Because the frustum has two circular faces. So you can let the cone formula to be remembered and derive the frustum formula from it.
That's how you can relate the others.
If ever get stuck, try drawing a diagram for yourself to understand. It helps a lot.
That's it for me. Wishes for the exams.
astitvastitva:
Tried my best. Primarily, you need to remember the formulae and practice more.
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