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

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

Answer Link

ewomazinoade ewomazinoade · Answer 2 · 2022-05-18T11:06:34+02:00

The diameter of each sphere needed by the action movie production team should be 13 inches.

What should be the diameter?

Diameter is a line that crosses the two ends of the circumference of a sphere and also passes through the center of the sphere.

Volume of one sphere = 3,392.92 / 30 = 113.10 cubic inches

Volume of a sphere = 4/3 x pi x r^3

Radius = ∛(113.10 x 3/4 x 3.14) = 6.43

Diameter = 6.43 x 2 = 13 inches

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

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