Problema Solution
Fifty metal sphere with the radii of 4 m are melted and this melted solution is poured into a rectangular prism with base dimensions of 2 m x 6 m. Find the height of the prism filled with solution.
Answer provided by our tutors
The volume of one sphere with radii of 4 m (R = 4 m) is:
V = (4/3)R^3*pi
V = (4/3)*4^3*pi
The total volume of 50 spheres is:
50V = 50*(4/3)*4^3*pi
Let 'h' represent the height of the rectangular prism.
The volume of the prism is:
V = 2*3*h
Now we can write the following equation:
2*3*h = 50*(4/3)*4^3*pi
pi = 3.14
6h = 50*(4/3)*4^3*3.14
........
click here to see the equation solved for h
........
h = 2232.89 m
The height of the prism filld with solution is 2232.89 m.