If the diameter of a solid hemisphere is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the diameter of a solid hemisphere is 12.6 cm, then its volume is (takе $\pi=\frac{22}{7}$):

Options:

1,259 cm³

987 cm³

523.908 cm³

1,235.621 cm³

Correct Answer:

523.908 cm³

Explanation:

We know that,

Volume of solid hemisphere = $\frac{2}{3}$πr³

Diameter of a solid hemisphere = 12.6 cm

Diameter= 12.6 cm

then, Radius = 6.3 cm

Now,

Volume of solid hemisphere = (2/3) × (22/7) × (6.3)³ = 523.908 cm³