Question

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

Answer 1

Given data is as follows:

Volume of the cylinder = 15.4 litres

h = 1m

We have to find the area of the sheet required to make this cylinder.

We know that 1 liter = 1000 cm³

Therefore, 15.4 liters = 15400 cm³

Also, h = 1m

=100cm

We know that,

Volume = `pir^2h`

Therefore,

`pir^2h` =15400

`22/7 xx r^2 xx 100 = 15400`

                              r = 7cm

Now, using this radius we have to find the Total Surface Area.

Total Surface Area = `2pi rh + 2 pi r^2`

`= 2 xx 22/7 xx 7xx100+2xx22/7xx7xx7`

total surface area = 4708 cm²