Let us assume the height of the lead pipe is h , the external diameter of the lead pipe is D , thickness of the lead pipe is t and the weight of 1 cubic centimeters of lead is w .
The height of the lead pipe
The external diameter of the pipe
So, the external radius (R) of the pipe
Thickness of the lead pipe
So, the inner radius (r) of the pipe
The weight of 1 cu cm lead w=11 g
We know that the lead pipe is equivalent to a hollow cylinder. So, the volume of the lead pipe is equal to the volume of the hollow cylinder.
The formula for the hollow cylinder is given by –
Substituting the values in this formula we get,
Now we know that the weight of 1 cm3 lead w=11 g .
So, the weight of 484 cm3 lead will be
Therefore, the total weight of the given lead pipe is 5324 g .
So, the correct answer is “ 5324 g ”.