Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The length and the breadth of a rectangle are 15 cm and 12 cm respectively. If the rectangle is given one full rotation about its breadth as the axis, what is the volume(in em?) through which the rectangle moves?

Options:

2160 π

1440 π

1800 π

2700 π

Correct Answer:

2700 π

Explanation:

We know that,

Volume of cylinder = πr2h

We have,

Length of rectangle = 15 cm = Radius of the cylinder

Breadth of rectangle = 12 cm = Height of the cylinder

According to the question,

Volume of the cylinder = π × 15 × 15 × 12 = 2700π