Question

How do you solve for \[h\] in \[V = \pi {r^2}h\]?

Answer 1

Hint:
In the given question, we have been given an equation which is solved for \[V\]. We have to evaluate for another variable in the question, \[h\]. To achieve that, we first separate all the terms on one side and the \[h\] on one side. Then we just free the \[h\] from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.

Complete step by step solution:
The given equation is \[V = \pi {r^2}h\].
We are going to take all the terms being multiplied with the required variable – here, \[h\].
In this, \[h\] is being multiplied, so we take all the multiplicands to the other side. By taking the multiplicands on the other side, their relation with the term there is going to be opposite; with \[h\] it is of multiplicands, so with \[V\] it is going to be that of divisors.
So, we have,
\[\dfrac{V}{{\pi {r^2}}} = h\]
or \[h = \dfrac{V}{{\pi {r^2}}}\]

Note:
In the given question, we had been given an equation which was solved for one variable of the given question. We had to evaluate for another variable in the question. To achieve that, we first separate all the terms on one side and the required variable on one side. Then we just free that variable from any coefficient by dividing the two sides by the same coefficient and that gives us the answer.