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The largest possible sphere, is carved o...

The largest possible sphere, is carved out form a solid woodern cube of side 7 cm.Find
(i) the volume of the sphere,
(ii) the percentage of wood wosted in the process.

Text Solution

Verified by Experts

Clearly diameter of the largest possible sphere = 7 cm
Radius of the sphere
`=4/3 pir^2=(4/3xx22/77xx7/2xx7/2xx7/2)cm^2`
`(539/3)cm^2=(490/3)cm^3`
`therefore` percentage of wood wasted
`=(490/3xx 1/343 xx 100)% =(1000/21)% = 47 13/21 %`
(`##RSA_MATH_X_C17_S01_017_S01.png" width="80%">
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