Find the weight of a lead pipe 3.5 m long, if the external diameter of the pipe is 2.4 cm and the thickness of the lead is 2 mm and 1 cu cm of lead weighs 11 g .

# Find the weight of a lead pipe 3.5 m long, if the external diameter of the pipe is 2.4 cm and the thickness of the lead is 2 mm and 1 cu cm of lead weighs 11 g .

1. A
5324g
2. B
4235g
3. C
5234g
4. D
5423g

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Given:
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
⇒h=3.5 m
⇒h=350 cm
The external diameter of the pipe
⇒D=2.4 cm
So, the external radius (R) of the pipe
$⇒R=\frac{D}{2}$
$⇒R=\frac{2.4}{2}$

t=2 mm
⇒t=0.2 cm
So, the inner radius (r) of the pipe
⇒r=(R−t)
⇒r=(1.2−0.2)
⇒r=1 cm
Also given,
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 –
V=π(R2−r2)h
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
⇒W=484×w
⇒W=484×11 g
⇒W=5324 g
Therefore, the total weight of the given lead pipe is 5324 g .
So, the correct answer is “ 5324 g ”.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)