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Question

A solid iron pole consists of a cylinder of height 220cm and base diameter24cm, which is surmounted by another cylinder of height60cm and radius 8cm. Find the mass of the pole, given that1cm3 of iron has approximately 8g mass.


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Solution

Height of large cylinder (H)=220cm

Radius of large cylinder (R)=242=12cm

Height of small cylinder (h)=60cm

Radius of small cylinder (r)=8cm

Step1: We have to find the mass of the pole, given that 1cm3 of iron has approximately 8g mass.

∴ Volume of iron =Volume of the big cylinder +Volume of the small cylinder

=πR2H+πr2h=π(R2H+r2h)=3.14×(12×12×220+8×8×60)

=111532.8cm3

As given , Mass of 1cm3=8g

Mass for 111532.8cm3=8×111532.8g

=892,262.4grams

=892.2624kg


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