Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A rectangular paper of width 8cm and length 22cm rolled along it width and a cylinder is formed.

On the above Intimation, Solve the question given below

The radius of the cylinder is-

Options:

$\frac{2}{7}$ cm

7 cm

$\frac{7}{2}$ cm

14 cm

Correct Answer:

$\frac{7}{2}$ cm

Explanation:

Here, in this case, some point is to be noted:

1. Length of the rectangle will becomes circumference of the base of the cylinder.

2. Breadth of the rectangle will becomes height of the cylinder.

3. Area of the rectangle will becomes curved surface area of the cylinder.

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Now, According to question:

Length of rectangle = 22 cm. = circumference of base circle of cylinder.

⇒ 2πr = 22 cm.

⇒ 2×\(\frac{22}{7}\)r = 22 cm.

⇒ r = \(\frac{7}{2}\) cm.