What is the volume
(in cm na") of the
largest
possible
cube cut out of a
solid sphere of
volume 3671 cm
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1
Answer:
Step-by-step explanation:
The largest cube that can be enclosed in a sphere will have its diagonal equal to the diameter of the sphere.
Volume of sphere = 3671 cm ³
4/3 πr³ = 3671
r³ = 876
r = 9.57 cm
Diagnol of Cube = Diameter of sphere = 2×9.57= 19.14 cm
Diagnol of Cube = √3 (Side)
19.14 =√3 (Side)
Side = 11 cm (approx)
Volume = (Side)³ = (11)³ = 1331 cm ³
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