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What is the volume of the largest sphere that can be curved out of a cube of edge 3 cm?

A) 9 \( \Large \pi cm^{3} \)
B) 6 \( \Large \pi cm^{3} \)
C) 4.5 \( \Large \pi cm^{3} \)
D) 3 \( \Large \pi cm^{3} \)

Correct Answer:



C) 4.5 \( \Large \pi cm^{3} \)

Description for Correct answer:

From figure, it is clear that Diameter of a sphere = Side of the cube = 3 cm

Therefore, Radius = \( \Large \frac{3}{2} \) cm

Therefore, Volume of the largest sphere

= \( \Large \frac{4}{3} \pi \left(radius\right)^{3} \)

= \( \Large \frac{4}{3} \pi \left(\frac{3}{2}\right)^{3} \)

= \( \Large \frac{4}{3} \pi \frac{27}{8} \)

= \( \Large \frac{9}{2} \pi = 4.5 \pi cm^{3} \)

Part of solved Volume and surface area questions and answers : >> Elementary Mathematics >> Volume and surface area

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Similar Questions

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