Question

What is the volume
(in cm na") of the
largest
possible
cube cut out of a
solid sphere of
volume 3671 cm​

Answer 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