The thickness of a hollow wooden cylinder is 2cm. It is 35cm long and its inner radius is 12cm. Find the volume of the wood required to make the cylinder, assuming it is open at either end.

Explanation

Thickness of Wooden Cylinder `t=2 cm`
Height of Cylinder `h=35 cm`
Inner radius `r=12 cm`
Outer radius `R=r+t=12+2=14 cm`
Volume of Wood Required`=`Outer Volume of Cylinder`-`Inner Volume of Cylinder
`(piR^2h)-(pir^2h)=pih(R^2−r^2)`
`22/7xx35xx(196-144)=22/7xx35xx52=5720cm^3`
Volume of Wood Required`=5720cm^3`