Solve 2piRh-2pirh=44

$$2 \pi R h - 2 \pi r h = 44$$

Solve for R

$$R=\frac{\pi hr+22}{\pi h}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Add 2\pi rh to both sides.

$$2\pi Rh=44+2\pi rh$$

The equation is in standard form.

$$2\pi hR=2\pi hr+44$$

Divide both sides by 2\pi h.

$$\frac{2\pi hR}{2\pi h}=\frac{2\pi hr+44}{2\pi h}$$

Dividing by 2\pi h undoes the multiplication by 2\pi h.

$$R=\frac{2\pi hr+44}{2\pi h}$$

Divide 44+2\pi rh by 2\pi h.

$$R=r+\frac{22}{\pi h}$$

Solve for h

$$h=\frac{22}{\pi \left(R-r\right)}$$

$$R\neq r$$

Steps for Solving Linear Equation

Multiply -1 and 2 to get -2.

$$2\pi Rh-2\pi rh=44$$

Combine all terms containing h.

$$\left(2\pi R-2\pi r\right)h=44$$

Divide both sides by 2\pi R-2\pi r.

$$\frac{\left(2\pi R-2\pi r\right)h}{2\pi R-2\pi r}=\frac{44}{2\pi R-2\pi r}$$

Dividing by 2\pi R-2\pi r undoes the multiplication by 2\pi R-2\pi r.

$$h=\frac{44}{2\pi R-2\pi r}$$

Divide 44 by 2\pi R-2\pi r.

$$h=\frac{22}{\pi \left(R-r\right)}$$