solve for h in the equation for density
P= M/V and V= pi r squared h
this is algebra ... straight forward ...
substituting ... p = m / (π r^2 h)
multiply by h , and divide by p
To solve for h in the equation for density, we need to substitute the given equations into each other and isolate the variable h.
Given equations:
P = M/V
V = πr²h
Substitute the value of V from the second equation into the first equation:
P = M / (πr²h)
Now, to solve for h, we can rearrange the equation:
Multiply both sides of the equation by (πr²h):
P(πr²h) = M
Divide both sides of the equation by P(πr²):
h = M / (Pπr²)
Therefore, the equation for h in terms of P, M, and r is:
h = M / (Pπr²)