Find the length of the diagonal of the largest cube that can be inscribed in a sphere of radius 35cm.
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Answer:
he length of the diagonal of the largest cube that can be inscribed in a sphere of radius 35cm = 70 cm
Step-by-step explanation:
The cube inside the sphere means that each corner of the cube is touch with the sphere.
The diagonal of the cube means that the length from one vertex to the exact opposite to the vertex.
Here the diagonal passing through the center of shpere. Therefore the diagonal of the cube is the diameter of the shpere.
Find the diameter of sphere
Here radius of shpere = 35 cm
Then diameter of shpere = 35 * 2 = 70 cm
To find the diagonal of sphere
Diagonal of cube= diameter of sphere = 70 cm
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