Answer:

2280.79 cm²

Step-by-step explanation:

*Height of cylinder,H = Width of paper = 6cm

* length of paper,L = 44cm

* Radius of cylinder = L/4 = 44/4 = 11cm

Volume of Cylinder = πR²H

= π*11²*6

V = 2280.79 cm²

Verified answer

Answer:

Given:-

Length of rectangular paper = 44cm

Breadth of rectangular paper = 6cm

Height of cylinder, H = 6cm

To find:-

Volume of the cylinder

Concepts used:-

(1) When a rectangular paper is folded to form a cylinder, then:-

• The length of paper will be the circumference of the cylinder.
• The width of the paper will be the height of the cylinder.  

(2) Volume of the cylinder =  πr²H, where:-

• r is the radius of the cylinder
• H is the height of the cylinder

Solution:-

Let r be the radius of the cylinder. Then length of paper will be the circumference of the cylinder.

⇒ 2πr = 44

⇒ 2 × 22/7 × r = 44

⇒ 44r/7 = 44

⇒ r = 7cm

Volume of the cylinder

= πr²H

On substituting the values, we get

= 22/7 × 7 × 7 × 6

= 154 × 6

= 924cm³

Final answer:-

The volume of the cylinder is 924cm³