Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A rectangular sheet of paper which is 88 cm long and 11 cm wide is rolled to form a cylinder of height equal to its width of the paper. What is the volume of the cylinder so formed?

Options:

7676 $cm^3$

6776 $cm^3$

6546 $cm^3$

6786 $cm^3$

Correct Answer:

6776 $cm^3$

Explanation:

We know that,

Circumference of circles  = 2πr

Vomule of cylinder = πr2h

We have,

Length = 88 cm

Width = 11 cm

Height of cylinder  = Width of the paper

Height of cylinder = 11 cm

2πr = 88

= 2 × \(\frac{22}{7}\) × r = 88

= r = 88 × \(\frac{7}{22}\) × 2

= r = 14 cm

Volume of cylinder = \(\frac{22}{7}\) × 14 × 14 × 11 = 6776 cm3