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Question
A closed cylindrical tank, made of thin ironsheet, has diameter = 8.4 m and height 5.4 m. How much metal sheet, to the nearest m2, is used in making this tank, if `1/15` of the sheet actually used was wasted in making the tank?
Solution
Radius of the cylindrical tank = r = `8.4/2` = 4.2 m
Height of the cylindrical tank = h = 5.4 m
∴ Total surface area of the cylindrical tank = 2πr(h + r)
= `2 xx 22/7 xx 4.2 (5.4 + 4.2)`
= 2 × 22 × 0.6 × 9.6
= 253.44 m2
Area of sheet wasted in making the tank
= `1/15 xx 253.44`
= 16.896 m2
Hence, total sheet required = 253.44 + 16.896 = 270.34 m2
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