Fifty metal spheres, each with a radius of 2 cm, are melted. The melted solution is poured into a box. What is the volume of all the melted solution. Round your answer to the nearest tenth of a centimeter.

1675.5 cm3

837.8 cm

418.9 cm

33.5 cm

Help me please

Volume of the melted solution will be 1675.5 cm³.

  Radius of each metal sphere = 2 cm

Expression for the volume of the sphere is given by,

Volume =

Here, r = radius of the sphere

By substituting the value of radius in the expression,

Volume =

             = 33.51 cm³

Volume of the melted solution = Volume of 50 spheres

Volume of 50 spheres = 50 × (33.51)

                                      = 1675.5 cm³

    Therefore, Volume of the melted solution will be 1675.5 cm³.

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Step-by-step explanation:

Step one:

we are given the radius as

r=2cm, and the number of spheres is 50 in numbers

let us find the volume of one sphere and multiply the area by 50 to get the volume of the 50 spheres

Step two:

The volume of one sphere is 33.5in^3

Hence the volume of the 50 spheres will be

=33.5*50

=1675.7cm^3 approx.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.