Final answer:
To find the work needed to pump half of the water out of the aquarium, you need to calculate the change in volume and use the formula Work = Pressure x Change in Volume. Since we are pumping the water out, the work is negative.
Step-by-step explanation:
To find the work needed to pump half of the water out of the aquarium, we first need to determine the initial volume and the final volume of the water. Let's assume the initial volume is V1 and the final volume is V2.
The work done is given by the formula:
Work = Pressure x Change in Volume
In this case, since we are pumping the water out, the work is negative.
Let's say the total volume of the aquarium is V and we want to pump out half of the water. So the final volume would be V/2.
Therefore, the work done to pump half of the water out of the aquarium would be:
Work = -Pressure x (V - V/2)