Math Snap

STEP 1

Assumptions1. The given equation is $= \pi r h+ \pi r^{}$
. We are solving for $h$

STEP 2

First, we need to isolate the term with $h$ on one side of the equation. To do this, we subtract $2 \pi r^{2}$ from both sides of the equation.
$$-2 \pi r^{2} =2 \pi r h$$

STEP 3

Next, to solve for $h$, we need to divide both sides of the equation by $2 \pi r$.
$$\frac{ -2 \pi r^{2}}{2 \pi r} = h$$This is the solution for $h$ in terms of $$, $r$, and $\pi$. However, none of the given options match this exact form. We can simplify this expression further.

We can divide the numerator in the fraction on the left side of the equation by $2 \pi r$.
$$h = \frac{}{2 \pi r} - r$$This is the simplified form of the equation for $h$. Comparing this with the given options, we see that it matches the first option.
So, Marta should get $\frac{}{2 \pi r} - r = h$ as the result. END