We are given the volume of a spherical tank = 790.272 π cubic feet.
We need to find the diameter of the container .
We know formula for volume of a sphere.
[tex]V=\frac{3}{4}(r^{3}\pi)[/tex]
Where r is the radius.
Plugging V= 790.272 π in the above formula, we get
[tex]790.272\pi =\frac{3}{4}(r^{3}\pi)[/tex]
Dividing both sides by π, we get
790.272 =[tex]\frac{4}{3}(r^{3})[/tex]
Multiplying both sides by 3, we get
2370.816 = [tex]4r^3[/tex]
Dividing both sides by 4, we get
592.704 = [tex]r^3[/tex]
Taking cube root on both sides, we get
r=8.4.
Diamater is 2 times of radius, that is 2 × 8.4 = 16.8
Therefore, the diameter of the container = 16.8 feet.
