Question

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

Answer 1

i think 6 inches.

Answer 2

Let's go through this step by step. If the total volume of the liquid is 3,392.92 cubic inches, then each spherical container has to have minimum volume (3,392.92 cubic inches)/30.

Use the formula for the volume of a sphere, V=(4/3)pi*r^3, to determine the radius of each sphere. Then double the radius to obtain the diameter of the sphere.