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 inches4 inches6 inches8 inches9 inches

Respuesta :

Answer:

6 inches

Step-by-step explanation:

3392.92 cubic inches of liquid distributed in 30 spheres would give each sphere's volume to be:

[tex]\frac{3392.92}{30}=113.1[/tex]

Now we equate 113.1 to the formula for volume of a sphere and solve for r:

[tex]\frac{4}{3}\pi r^3=113.1\\r^3=\frac{113.1}{\frac{4\pi}{3}}\\r^3=27\\r=\sqrt[3]{27} =3[/tex]

The radius of each of those spheres is 3

We know diameter is twice the radius , so diameter would be 3 * 2 = 6 inches

Answer:

6 inches

Step-by-step explanation:

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

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