Question

A cylindrical road roller made of iron, as shown in
the adjoining figure, 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 is 8g (Take it = 3.14).​

Answer 1

Step-by-step explanation:

Given, inner diameter of road roller =54cm and its thickness is 9cm.

So, internal radius (r)=27cm and outer radius (R)=27cm+9cm=36cm

Length or height of the roller =1m=100cm

So, volume of the cylinder =π(R² -r²)h = 22/7

(36² - 27²) )100=178200cm²

Now, it is given that 1cm³ of iron weighs 8g.

Therefore, weight of the pipe =178200×8g=1425600g=1425.6kg