SOLUTION: If there are 7.5 gallons to the cubic foot, and a spherical storage tank has a radius of 12 ft, then using 3.14159 for π ,how many gallons, correct to the nearest whole gallon

Algebra ->  Bodies-in-space -> SOLUTION: If there are 7.5 gallons to the cubic foot, and a spherical storage tank has a radius of 12 ft, then using 3.14159 for π ,how many gallons, correct to the nearest whole gallon      Log On


   

Question 288254: If there are 7.5 gallons to the cubic foot, and a spherical storage tank has a radius of 12 ft, then using 3.14159 for π ,how many gallons, correct to the nearest whole gallon, will the full storage tank hold?
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
If there are 7.5 gallons to the cubic foot, and a spherical storage tank has a radius of 12 ft, then using 3.14159 for π ,how many gallons, correct to the nearest whole gallon, will the full storage tank hold?
The volume of the tank in cubic feeet is given by the formula:
V = (4/3)*pi*r^3
V = (4/3)*pi*12^3
If each 7.5 gallons uses 1 cubic foot the number of gallons that can be held is:
((4/3)*pi*12^3)/7.5