Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

A solid right circular cylinder has height 28 cm and radius of base 7 cm. Two hemispheres of radius 7 cm are cut from both circular ends of the cylinder. What is the total surface area of the remaining portion?

Options:

1656 cm²

1705 cm²

1996 cm²

1848 cm²

Correct Answer:

1848 cm²

Explanation:

T.S.A. of remaining portion = C.S.A. of cylinder + C.S.A. of 2 hemisphere

= 2\(\pi \) rh + 2 × 2\(\pi \)r2

= 2\(\pi \) r (h + 2r)

= 2 × \(\frac{22}{7}\) × 7 (28 + 14)

= 44 × 42 = 1848 cm2