A spherical tank with 4 m radius is full of water. Calculate the work (in Joules) is 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. The density of water is 1000kg/m3 , the gravity force is 9.8m/s2.

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

layers of the earth affect the waves and these effects are seen on instruiments such as seimometers

hi there!

out of the two, (b) precision would be more reasonable.   however, both a and b could be pretty reasonable.

-awesomerepublic   : )