To solve this problem it is necessary to apply the concepts related to the geometry of a cylindrical tank and its respective definition.
The volume of a tank is given by

Where
d = Diameter
h = Height
Considering that there are two stages, let's define the initial and final volume as,


We know as well by definition that

Then we have for the statement that


Replacing the previous data


Solving to get h,

Therefore the change is



Therefore te change in the height of the water in the tank is 0.37mm
 
        
             
        
        
        
A "heating curve" is a graph that shows the temperature of the substance
against the amount of heat you put into it.
For most of the graph, as you'd expect, the temperature goes up as you 
add heat, and it goes down as you take heat away.  BUT ... While the 
substance is changing state, its temperature doesn't change even though 
you're putting heat in or taking heat out.
So that part of the graph is a horizontal line. 
        
                    
             
        
        
        
Answer:
The answer to your question is    Pe = 2452.5 J
Explanation:
Data
mass = 50 kg
height = 5 m
gravity = 9.81 m/s²
Process
The energy of this process is Potential energy which is proportional to the mass of the body, the gravity and the height of the body.
            Pe = mgh
Substitution
            Pe = (50)(5)(9.81)
Simplification
            Pe = 2452.5 J
 
        
             
        
        
        
Answer:
Increases, increases
Explanation:
The current is directly proportional to the voltage and inversely proportional to the resistance. The implication of this is that, whenever the voltage is increased, the current increases simultaneously. On the other hand, if the resistance is increased, the current will decrease accordingly and vice versa.
Recall that power is given by P= V^2/R where;
P= power, V= voltage and R= resistance
We can see that power and resistance are inversely related hence decreasing the resistance increases the power output of the lightbulb.