We are given: \(\displaystyle{V}=π{r}^{{2}}{h}\)

Divide both sides by \(\displaystyleπ{r}{2}\)

\(\frac{V}{\pi r^2}=\frac{\pi r^{2}h}{\pi r^2}\)

\(\frac{V}{\pi r^2}=h\)

\(h=\frac{V}{\pi r^2}\)

Question

asked 2021-08-06

Solve the formula for the indicated variable.

Formula for the volume of a cylinder, \(\displaystyle{V}=π{r}^{{2}}{h}\), for h

Formula for the volume of a cylinder, \(\displaystyle{V}=π{r}^{{2}}{h}\), for h

asked 2021-08-16

The volume of a can (right circular cylinder) is 10 cubic feet. The curved surface area is the area of the side. Write the curved surface area S as a function of the radius r. Write the radius r as a function of the curved surface area S.

asked 2020-12-31

asked 2021-08-06

The height of a cylinder is increasing at a constant rate of 10 meters per minute, and the volume is increasing at a rate of 1135 cubic meters per minute. At the instant when the height of the cylinder is 9 meters and the volume is 354 cubic meters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation \(\displaystyle{V}=\pi{r}^{{2}}{h}\). Round answer to three decimal places