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 $π = 3.14]$

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

144782 k g

147892 k g

178500 g

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!