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Question

A cylinder is open at both ends and is made of 1.5-cm-thick metal. Its external diameter is 12 cm and height is 84 cm. What is the volume of metal used in making the cylinder? Also, find the weight of the cylinder if 1 cm3 of the metal weighs 7.5 g.

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Solution

Thickness of the cylinder = 1.5 cm
External diameter = 12 cm
i.e., radius = 6 cm
also, internal radius = 4.5 cm
Height = 84 cm

Now, we have the following:
Total volume=πr2h=227×6×6×84=9504 cm3
Inner volume =πr2h=227×4.5×4.5×84=5346 cm3
Now, volume of the metal = total volume − inner volume =9504-5346=4158 cm3
∴ Weight of iron =4158×7.5= 31185 g= 31.185 kg [Given: 1 cm3=7.5g]

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