Question

A spherical tank has a capacity of 800 gallons. Using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (to the nearest hundredth of a foot).

Answer 1

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

$V =\frac{4\pi r^{3}}{3}$

Equating both the volumes

⇒ $\frac{4\pi r^{3}}{3}$ = 106.96

⇒ $r^{3}$ = 25.53

⇒ $r = \sqrt[3]{25.53}$

⇒ r = 2.94

∴ Radius of the sphere is 2.94 ft