The largest possible sphere is carved out of a solid wooden cube of edge 21 cm. Find the volume of wood wasted, in cm³. Take π = 22/7.

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Accepted Answer

4410. The sphere's diameter equals the edge, so its radius = 10.5 cm and its volume = (4/3) × (22/7) × 10.5³ = 4851 cm³. The cube's volume = 21³ = 9261 cm³. Wood wasted = 9261 − 4851 = 4410 cm³.

The largest possible sphere is carved out of a solid wooden cube of edge 21 cm. Find the volume of wood wasted, in $cm^{3}$ . Take π = 22/7.

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The largest possible sphere is carved out of a solid wooden cube of edge 21 cm. Find the volume of wood wasted, in cm3. Take π = 22/7.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Areas & Volumes practice

The largest possible sphere is carved out of a solid wooden cube of edge 21 cm. Find the volume of wood wasted, in $cm^{3}$ . Take π = 22/7.