A cylindrical road roller made of iron is $1 m$ long. Its inner diameter is $54 cm$ and the thickness of the iron sheet rolled into the road roller is $9 cm$ . Find the weight of the roller if 1 c.c. of iron weight 8 g. [Use $π = 3.14]$

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144782 k g

147892 k g

178500 g

answer is C.

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Detailed Solution

It is given that the inner diameter, height and the thickness of the cylinder is

d = 54 c m

h = 1 m

w' = 9 c m

, respectively.
Suppose the internal and outer radii of the cylinders are r and R respectively.
We have to find the weight of the roller if 1 c.c. of iron weight 8 g, i.e.,

d e n s i t y = 8 g m

The volume of a cylinder is expressed as,

V = π r 2 h

, where

r

and h be the radius and height of a cylinder.
Thus, the internal radius, r is,
Question Image

And the outer radius, R is,
Question Image

The volume of the cylinder, V is,
Question Image

So, the weight of the pipe, w is,
Question Image

The weight of the roller is

.
Therefore, the correct option is 3.

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