Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What are respectively the curved surface area and volume of a hemisphere of radius 21 cm? (Take $π =\frac{22}{7}$)

Options:

2772 cm2, 1940 cm3

4158 cm2, 19404 cm3

2772 cm2, 4158 cm3

2772 cm2, 9702 cm3

Correct Answer:

2772 cm2, 1940 cm3

Explanation:

We know that,

C.S.A of the hemisphere = 2πr2

Volume of the hemisphere = \(\frac{2}{3}\)πr3

We have,

Radius of the hemisphere = 21 cm.

C.S.A of the hemisphere = 2 × \(\frac{22}{7}\)× (21)2 = 2772 cm2.

Volume of the hemisphere = \(\frac{2}{3}\) × \(\frac{22}{7}\) × (21)3 = 19404 cm3