Question

The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?

Answer 1

Height of cylindrical vessel = 1 m

Capacity of the cylindrical vessel = 15.4 L

In metre cube = `15.4/1000` = 0.0154 m³   ...[∵ 1 m³ = 1000 L]

Volume of a cylinder = πr²h

⇒ `22/7 xx r^2 xx 1 = 0.0154`

⇒ `r^2 = 0.0154/3.14 = 0.0049`

⇒ `r = sqrt(0.0049) = 0.07 m`

∴ Metal of sheet required = 2πrh

= `2 xx 22/7 xx 0.07 xx 1`

= 0.4396

= 0.44 m²