Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The internal and external radius of a hollow hemispherical vessel are 7 cm and 8 cm respectively. What is total surface area of the vessel?

Options:

1204 cm²

365.85 cm²

726.96 cm²

756.74 cm²

Correct Answer:

756.74 cm²

Explanation:

T.S.A. = C.S.A. of (inner + outer) hemispherical + area of ring

         = 2\(\pi \) (R2 + r2) + \(\pi \) (R2 - r2

         = 3\(\pi \) R2 + \(\pi \) r2

         = \(\pi \) (3 × (8)2 + (7)2)

         = 3.14 × 241 = 756.74 cm2