Aspherical water tank with a diameter of 30 feet is currently half filled with water. if water weighs approximately 62 pounds per cubic foot, what is the weight of the water in the tank? (to the nearest pound)

1. You have that the diameter of the spherical tank is diameter of 30 feet. Then, you must apply the formula for calculate the volume of a sphere:

 V=4πr³/3

 r=30 feet/2
 r=15 feet

 2. The volume of the tank is:

 V=4πr³/3
 V=4π(15 feet)³/3
 V=42,411.50 feet³/3
 V=14,137.16 feet³

 3.  The water weighs approximately 62 pounds per cubic foot , then:

 1 foot³62 pounds
 14,137.16---x

 x=876,504.35 pounds/foot³

 The answer is: 876,504 pounds/foot³