Find the volume of the greatest sphere that can be cut of a cube of side 14 cm. Find also the volume of remaining piece
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Answer:
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
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