A cylindrical road roller made of iron is 1m wide. Its inner diameter is 54cm and thickness of the iron sheet rolled into the road roller is 9cm. Find the weight of the roller if 1 c.c. of iron weight 8 gm.

Explanation

Inner diameter`=54 cm`
Inner radius `r=54/2=27cm`
Thickness`=9cm`
Outer radius `R=27+9=36cm`
Height of cylindrical roller `h=1m=100cm`
Volume`=pi(R^2-r^2)h`
`=pi(362-272)xx100`
`=(22/7)xx(1296-729)xx100`
`=178200 cm3`
Weight of the roller`=178200×8`
`=1425600gm=1425.6 kg`
`therefore` The weight of the roller`=1425.6 kg`