Question

find the volume of the greatest sphere that can be cut of a cube of side 14cm and also find the volume of remaining piece​

Answer 1

Answer:

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Explanation:

Volume of sphere ≈ 1437.33 cm³

Remaining volume ≈ 1306.67 cm³

Step-by-step explanation:

Side of cube = 14 cm

⇒ Volume of cube = 14*14*14 cm³ = 2744 cm³

∵ Sphere is cut out of cube,

⇒ Side of cube = Diameter of sphere

⇒ Radius of sphere (r) = 14/2 = 7 cm.

⇒ Volume of sphere = 4/3 π r³

                                   = 4/3 * 22/7 * 7 * 7 * 7 (Assuming π = 22/7)

                                   = 4/3 * 22 * 7 * 7

                                   ≈ 1437.33 cm³

So, Volume of remaining piece ≈ 2744 - 1437.33 cm³ ≈ 1306.67 cm³