Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

What is the height of a solid right circular cylinder whose radius is 3 cm and total surface area is 60 π cm2?

Options:

3 cm

5 cm

7 cm

9 cm

Correct Answer:

7 cm

Explanation:

We know that,

Total surface area of cylinder = 2πr(r + h)

We have,

Radius of right circular cylinder = 3 cm.

Total surface area of cylinder = 60π cm².

Total surface area of cylinder =

 2 π r (r + h) = 60π

= 2 π × 3(3 + h) = 60π

= (3 + h) = 10

= h = 7 cm