Find the volume of a cylinder in litres whosecurved surface area is 15

1.	Find the volume of a cylinder in litres whosecurved surface area is 154m and height is3.5
Answer» 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.

Find the volume of a cylinder in litres whosecurved surface area is 154m and height is3.5

Answer»

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,

Solution,

Given that,

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.