Diameter of the spherical storage tank = 24 ft
So, radius of the tank = [tex]\frac{24}{2}=12[/tex] ft
Volume of the spherical tank = 4/3 * PI * r³
= [tex]\frac{4}{3}\times3.14\times12\times12\times12[/tex]
= 7234.56 cubic feet
Diameter of cylindrical tank = 4 ft
So, radius = [tex]\frac{4}{2}=2[/tex] ft
Height of cylindrical tank = 10 ft
Volume of cylindrical tank = PI * r² * h
= [tex]3.14\times2\times2\times10=125.60[/tex] cubic feet
So, the number of cylindrical tanks that can be filled from the spherical tank are =
[tex]\frac{7234.56}{125.60}=57.6[/tex]
Hence, 57 cylindrical tanks can be completely filled from the big spherical tank.
