Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere
[tex]V =\frac{4\pi r^{3}}{3}[/tex]
Equating both the volumes
⇒ [tex]\frac{4\pi r^{3}}{3}[/tex] = 106.96
⇒ [tex]r^{3}[/tex] = 25.53
⇒ [tex]r = \sqrt[3]{25.53}[/tex]
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
