Answer:
1,075,536Joules
Explanation:
Work is said to be done when an applied force causes an object to cover a distance.
Workdone = Force × Distance
Before we can get the force needed to pump all the water out, we need to calculate the mass of water.
Density = Mass/volume
Mass = Density × volume
Given density of water = 1000kg/m³
Volume of the spherical tank = 4/3πr³
If radius = 4m
Volume of the tank = 4/3π(4)³
= 4/3π × 64
= 27.16m³
Mass = 1000×27.16
Mass = 27,160kg
Force = mg = 27,160×9.8
Force = 537,768N
work (in Joules) needed to pump all of the water out if the water exits through a spout that is 2 meters from the top of the tank will be;
Work = 537,768×2
Work = 1,075,536Joules
