Question

The formula V = πr2h gives the volume of a cylinder with radius r and height h. Solve the formula for r. Show your work.

Answer 1

V= pi Times r squared times h
First divide both sides by pi and h
V / pi h = r squared
Square root both sides.

The square root of v /pi times h = r

Answer 2

Answer:

$r = \sqrt{\frac{V}{\pi h}}$

Step-by-step explanation:

The formula to calculate the volume is:

$V = \pi r^{2} h$

Where r is the radius and h the height of the cylinder.

We need to isolate r. First step is to move pi and h, they can go to the other side dividing.

$V = \pi r^{2} h\\ \pi r^{2} h = V\\ \pi r^{2} =\frac{V}{h}\\r^{2} =\frac{V}{\pi h}$

Second step, as radius is with an exponent of two, we can use square root.

$r^{2} =\frac{V}{\pi h}\\\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h}}$

Finally, we can isolate radius - r

$r = \sqrt{\frac{V}{\pi h}}$