Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

What is the total surface area and the curved surface area of a solid hemisphere of radius 14 cm?

Options:

5544 cm2, 1848 cm2

1848 cm2, 1232 cm2

924 cm2, 616 cm2

2772 cm2, 1848 cm2

Correct Answer:

1848 cm2, 1232 cm2

Explanation:

We know that,

The total surface area of a solid hemisphere = 3πr2

The curved surface area of a solid hemisphere = 2πr2

We have,

Radius of  hemisphere = 14 cm

The total surface area of a solid hemisphere = 3 × \(\frac{22}{7}\) × 142 = 1848 cm2

The curved surface area of a solid hemisphere = 2 × \(\frac{22}{7}\) × 142 = 1232 cm2