Question

2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm

from a metal sheet. How many square metres of the sheet are required for the same​

Answer 1

It's required
`7.48\ m^2` of sheet for the tank

Explanation:

Surface Area of a Cylinder

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

`S=2\pi r^2+2\pi r h`

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

`S=2\pi 0.7^2+2\pi (0.7)(1)`

`S=2\pi 0.49+1.4\pi`

`S=2.38\pi`

`\boxed{S=7.48\ m^2}`

It's required
`7.48\ m^2` of sheet for the tank