The volume of a hemisphere is 486$\pi$ c

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The volume of a hemisphere is 486$\pi$ cm³. Find the radius.

Options:

7 cm

9 cm

4 cm

8 cm

Correct Answer:

9 cm

Explanation:

Volume of a hemisphere = $\frac{2}{3} \pi r^3$

⇒ $\frac{2}{3} \pi r^3$ = 486$\pi$

⇒ $r^3$ = 729

⇒ Radius = 9 cm