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Anika [276]
3 years ago
12

An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available

3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top. 3 inches/ 4 inches/ 6 inches/ 8 inches /9 inches
Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92

where V is the volume of each sphere
Solving for V
V = 113.0973

The formula for the volume of the sphere is:
V = (4/3) π r³

Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³

Since V = 113.0937
113.0937 = (1/6) π D³
D = 6

Therefore, the diameter is 6 inches (THE THIRD OPTION)
Anestetic [448]3 years ago
4 0

Answer:

6 inches

Step-by-step explanation:

I just took a test on Plato/Edmentum with this question and this was the right answer

~Please mark me as brainliest :)

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