Let's do this question, the thickness of a hollow metallic cylinder is two centimeter.
All right.
If 70 centimetres long with outrageous 14 centimeter.
OK, find the volume of the metal used in making the cylinder, assuming that it is open at both the
ends.
Also find its way if the metal weighs eight gram centimetre cube.
All right.
Pause the video, give it a try and then let's do it together.
All right, we're back.
Let's do it together.
Now, over here we are having a hollow cylinder right now.
Let's make a rough sketch of the cylinder mentioned over here.
All right, now, over here, it's given that the outer radius is 14 centimeter.
So I'm taking the outer edges as 14 centimeters and it's given that the thickness is two centimeters.
Right.
It's also mentioned that it's 70 centimeters long or this height over here is 70 centimeter.
All right, now we know that the volume of this ship will be base area into height right now, what
is the base area?
That would be Pyaar Square minus by our square where this is the larger radius and then this is the
smaller radius.
But take this as R and this is smaller than the base area spy into our square minus our square.
That's equal to Bindu 14 square.
Minus 12 square.
Right.
Because this is equal to therefore this smaller radius will be equal to 14 minus two.
That's equal to 12 centimeters.
Right.
So this base area becomes pi into 14 square, minus 12 square.
And we know that the height is 70.
Right.
Therefore, the volume is equal to find 14 square minus 12 square in 270.
That gives you 50 to buy into 70.
All right, so let's simplify this, 52 into 22 by seven in 270.
That's equal to one one four four zero centimetre cube.
All right, so we need to also find the Veidt.
Right, that's also asked we have found the volume right?
That's the first part of the question.
Now we need to find the weight of the metal weighs eight grams per centimetre cube.
Now, we have found the volume of the hollow cylinder.
Therefore, the weight will be one one four four zero into eight.
That's equal to nine one five two zero gram.
That is your answer.