Question

3. A rectangular piece of paper of length 35 cm and Breadth 22cm is rolled along the length to form a cylinder
Find the radius of the base of the cylinder so formed

Answer 1

Answer:

Radius is equal to 11/π = 3.5 cm

Step-by-step explanation:

Since the paper is rolled along the length

⇒ height = length = 35cm

⇒ circumference of base = 22cm

⇒ 2πr = 22

⇒ r = 11/π  = 3.5 cm

Answer 2

The radius of the base of the cylinder is 3.5 cm.

• One of the fundamental three-dimensional shapes in geometry is the cylinder, which has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases. One of the actual instances of cylinders is an LPG gas cylinder.
• The cylinder has two key characteristics, namely surface area and volume, because it is a three-dimensional shape. The combined curved surface area of the cylinder and the areas of the two circular bases make up its whole surface area. A cylinder's volume is the term used to describe the three-dimensional space it takes up.

Here, according to the given information, we are given that,

A rectangular piece of paper of length 35 cm and Breadth 22cm is rolled along the length to form a cylinder. This means that the height of the cylinder will be the length of the rectangular paper.

Also, the perimeter of the base of the cylinder has to be the breadth of the rectangular paper.

Then, $2\pi r=22$, where r is the radius of the cylinder.

Then, the radius of the base of the cylinder is $\frac{22}{2\pi } =3.5$ cm.

Hence, the radius of the base of the cylinder is 3.5 cm.

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