Q : 2    It is required to make a closed cylindrical tank of height $\small 1\hspace{1mm}m$ and base diameter $\small 140\hspace{1mm}cm$ from a metal sheet. How many square metres of the sheet are required for the same?

N Nehul

Given,

Height of the cylindrical tank = $h = 1\ m$

Base diameter =  $\small d = 140\ cm = 1.4\ m$

We know,

The total surface area of a cylindrical tank = $\small 2\pi r h+2\pi r^2 = 2\pi r(r+h)$

$\small = 2.\frac{22}{7}. \frac{1.4}{2}.(0.7+1) = 2.\frac{22}{7}. (0.7).(1.7)$

$\small = 44\times0.17$

$\small = 7.48\ m^2$

Therefore, square metres of the sheet is $\small 7.48\ m^2$

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