Question

A closed cylindrical tank of height $1.4m$ and radius of the base is $56cm$, is made up of a thick metal sheet. How much metal sheet is required.(Express in square meters)

Answer 1

$\text{Given, radius of the base of a cylinder r = 56cm = 0.56m}$

$\text{And height h = 1.4m}$

$\text{To find the metal sheet required, we need to find the total surface area of the cylinder.}$

Total surface area of the cylinder= curved surface area$+$ area of two circles

$TSA=2\pi rh+2\pi r^2$

$TSA=2\times \frac{22}{7}\times 0.56\times 1.4+2\times \frac{22}{7}\times 0.56\times 0.56$

$TSA=4.928m^2+1.9712m^2$

$TSA=6.899m^2$ metal sheet required.