Question

a largest possible sphere had been carved out from a cubical wooden block of edge 42cm.find the volume of carved out wood?​

Answer 1

The volume of carved out wood is 38808 cubic cm.

Step-by-step explanation:

Edge of cubical box = 42 cm

We are supposed to find volume of a largest possible sphere had been carved out from a cubical wooden block

So, Largest possible diameter of sphere = 42 cm

Radius of sphere =$\frac{42}{2}=21 cm$

Volume of sphere =$\frac{4}{3} \pi r^3$

Volume of sphere =$\frac{4}{3} \times \frac{22}{7} \times 21^3$

Volume of sphere =$38808 cm^3$

Hence the volume of carved out wood is 38808 cubic cm.

#Learn more:

The largest possible sphere is carved out of a wooden cube of side 7cm.Find the volume of the wood left.

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