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NNADVOKAT [17]
2 years ago
13

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

Mathematics
1 answer:
Alika [10]2 years ago
3 0

Answer:

347.3 cubic units

Step-by-step explanation:

To find the area of empty space, we can find the volume of both shapes and subtract the volume of the sphere from the volume of the cube.

Volume of a cube = l^3

Our given length in this case is 9, so the volume is 9x9x9= 729 cubic units.

The volume of sphere = 4/3 pi r^3

Our radius is 4.5 (half of diameter), so:

4/3*91.125 pi

121.5 pi = 381.7 (1dp)

729-381.7 = 347.3

The volume of empty space = 347.3 cubic units.

The full expression in terms of given d:

Volume of empty space = d^3 - 4/3 pi (d/2)^3

Hope this helped!

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Answer:

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tino4ka555 [31]

Answer:

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