Question

3. A rectangular piece of paper of length 35 cm and breadth 22 cm is rolled along the length to form a cylind

Find the radius of the base of the cylinder so formed. ​

Answer 1

Answer ⤵️

3. In the given Question we have to find the radius of the base of the cylinder formed by rolling the rectangular piece of paper.

If we found out the area of the rectangular piece of paper then it should be equals to the curved surface area (C.S.A)of the cylinder.

Area of the rectangular piece of paper= l×b

= 35×22

= 770 m²

And the piece of paper breadth after rolling the paper's breadth will become height of the cylinder.

Let the radius be x.

C.S.A of the cylinder= 2πrh

770= 2πrh

$770 = 2 \times \frac{22}{7} \times x \times 22 \\ 770 = \frac{44}{7} \times x \times 22 \\ 770 = \frac{44}{7} \times22 \times x \\ 770 = \frac{968}{7} \times x \\ 770 = \frac{968x} {7} \: \: \: (cross \: multiplication) \\ 968x = 5390 \\ x = \frac{5390}{968 } \\ x = 5.56$

So its radius of the cylinder formed by rolling the rectangular piece of paper is 5.56 m.

Step-by-step explanation:

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