Question

It is required to make a closed cylindrical tank of height $1m$ and base diameter $140cm$ from a metal sheet. How many square meters of the sheet are required for the same?

Assume $[\pi =\frac{22}{7}]$

Answer 1

Given: Height $\left(h\right)$ of cylindrical tank $=1m$

Base radius $\left(r\right)$ of cylindrical tank $=\frac{140}{2}cm=70cm=0.7m$ [$\because 1m=100cm$]

Area of the sheet required $=$ Total Surface area of the tank $=2\pi r(r+h)$

$=[2\times \frac{22}{7}\times 0.7(0.7+1\left)\right]m^2$

$=(4.4\times 1.7)m^2$

$=7.48m^2$

Therefore, it will require $7.48m^2$ area of the sheet.