Question

find the volume of a cylinder in litres whose
curved surface area is 154m and height is
3.5

​

Answer 1

Correct Question :

Find the volume of a cylinder in litres whose curved surface area is 154m² and height is 3.5m

Answer :

The volume of a cylinder in litres is 539000 litres.

Step-by-step explanation :

To Find,

• The volume of a cylinder in litres

Solution,

Given that,

• Curved surface area = 154 m²
• Height = 3.5 m

As we know that,

Curved surface area = 2πrh

Let the radius be r

Therefore,

» 154 = 2 × 22/7 × r × 3.5

» r = 154 × 7 / 2 × 22 × 3.5

» r = 7 × 7 / 2 × 3.5

» r = 7 × 7 / 7

» r = 7 m

Hence, radius is 7m

So, Volume of the cylinder

As we know that,

Volume of Cylinder = πr²h

Therefore,

» 22/7 × 7 × 7 × 3.5

» 22 × 7 × 3.5

» 539 m³

Hence, Volume of cylinder is 539 m³

Now, the volume of Cylinder in litres is,

We know that,

1 m³ = 1000 L

Therefore,

» 539 × 1000 L

» 539000 Litres.