Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The height and curved surface area of a right circular cylinder are 7 cm and 70 π cm2. Its total surface area is:

Options:

140 $\pi cm^{2}$

150 $\pi cm^{2}$

180 $\pi cm^{2}$

120 $\pi cm^{2}$

Correct Answer:

120 $\pi cm^{2}$

Explanation:

We know that,

Curved Surface Area = 2πrh 

Total surface area = 2πr(r + h) 

We have,

Height = 7 cm

Curved surface area = 70π cm2

= 2πr × 7 = 70π

= r = 5 cm 

Now, Total surface area =  = 2 × π × 5 × (5 + 7) = 120π cm2