.A cylinder is made of metal having thickness 2 cm. The outer diameter of the cylinder is 14 cm and
height of the cylinder is 14 cm. Find the capacity of cylinder and also volume of the metal used
height of the cylinder is 14 cm. Find the capacity of cylinder and also volume of the metal used
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Question
The thickness of a hollow metal cylinder is 2cm. It is 70cm long with outer radius of 14cm. Find the volume of metal required to make the cylinder, assuming it is open at both ends. Also, find its weight if the metal weighs 8g per cm3.
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Solution
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Thicknessofcylinder=2cm
Lengthofcylinder(h)=70cm
OuterRadius(R)=14cm
Then InnerRadius(r)=outerradius−thickness
=14−2 =12cm
Volumeofhollowcylinder=πh(R2−r2)
=722×70×(142−122)
=22×10×(196−144) =22×10×52
=11440cm3
Weightof1cm3=8gm
SO,weightof11440cm3=11440×8
=91520gm =100091520kg
=91.52kg
Hence, Weightofthemetalis91.52kg.
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