Question

the thickness of a hollow metal cylinder is 2 cm 70 cm long with outer radius of 14 cm find the volume of metals required to make a the cylinder assuming it is open at both end also find its weight the metals with 8 gram per centimetre cube

Answer 1

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

=> (π×R2×h)−(π×r2×h)=π×h(R2−r2)

=> 227×35×(196−144)=227×35×52=5720cm3

=> Volume of Wood Required  = 5720 cm3