Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The total surface area of a hemisphere is 462 cm2. What is its diameter?(Take $π =\frac{22}{7}$)

Options:

14 cm

7 cm

17.5 cm

10.5 cm

Correct Answer:

14 cm

Explanation:

We know that,

Total surface area of a hemisphere = 3πr2

3 πr2 = 462

= 3 × \(\frac{22}{7}\) × r2 = 462

= r2 = 462 × \(\frac{7}{22}\) × \(\frac{1}{3}\)

= r = \(\sqrt {49}\) = 7 cm

Now, the diameter = 14 cm