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.
Answers
Steve
well, you know that each sphere holds 3392.92/30 = 113.097
so, now you know that
4/3 pi r^3 = 113.097, so r = 3
so, now you know that
4/3 pi r^3 = 113.097, so r = 3
Bosnian
V1 = Volume of one sphere:
V1 = ( 1 / 6 ) * pi * d ^ 3
V = 30 * V1
V = 30 * ( 1 / 6 ) * pi * d ^ 3
V = ( 30 / 6 ) * pi * d ^ 3
V = 5 * pi * d ^ 3
3,392.92 = 5 * pi * d ^ 3
3,392.92 = 5 * 3.1416 * d ^ 3
3,392.92 = 15.708 * d ^ 3 Divide both sides by 15.708
3,392.92 / 15.708 = 15.708 * d ^ 3 / 15.708
215.99949 = d ^ 3
d = third root ( 215.9949 ) = 5,9999952843 in
d = 6 in
V1 = ( 1 / 6 ) * pi * d ^ 3
V = 30 * V1
V = 30 * ( 1 / 6 ) * pi * d ^ 3
V = ( 30 / 6 ) * pi * d ^ 3
V = 5 * pi * d ^ 3
3,392.92 = 5 * pi * d ^ 3
3,392.92 = 5 * 3.1416 * d ^ 3
3,392.92 = 15.708 * d ^ 3 Divide both sides by 15.708
3,392.92 / 15.708 = 15.708 * d ^ 3 / 15.708
215.99949 = d ^ 3
d = third root ( 215.9949 ) = 5,9999952843 in
d = 6 in
Anonymous
perimeter
=
2(length + width)
=
2(3 + 3)
=
2(6)
=
12 inches.