It is required to make a closed cylindrical tank of height 1m and the base diameter of 140 cm from a metal sheet.
Question:
It is required to make a closed cylindrical tank of height 1m and the base diameter of 140 cm from a metal sheet. How many square meters of the sheet are required for the same? (Take π = 3.14).
Solution:
Height of the cylindrical tank (h) = 1 m
Base radius of cylindrical tank (r) = 140/2 = 70 cm = 0.7 m
Area of sheet required =total surface area of tank = 2πrh
= 2 * 3.14 * 0.7(0.7 + 1)
$=4.4^{*} 1.7=7.48 \mathrm{~m}^{2}$
Therefore it will require $7.48 \mathrm{~m}^{2}$ of metal sheet.
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