Question

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

Answer 1

It is given that

Diameter of the cylinder = 140cm

Radius of the cylinder = 140/2 = 70cm

Height of the cylinder = 1m = 100cm

We know that

Area of sheet required = Total surface area of cylinder = 2 πr (h + r)

By substituting the values

Area of sheet required = 2 × (22/7) × 70 (100 + 70)

On further calculation

Area of sheet required = 2 × 22 × 10 × 170

So we get

Area of sheet required = 74800 cm² = 7.48 m²

Therefore, the area of sheet required is 7.48 m².