the thickness of a hollow wooden cylinder is 2cm. it is 35 cm long and its inner radius is 12 cm . find the volume of wood required ti make the cylinder , assuming it us open at either end.
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Ans. 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
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
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