Question

Jane is trying to re-arrange the volume of a cone formula, V=13(πr2)⋅h. Which of the following re-arrangements of the formula are valid? Select all that apply.

A)h=πr23V
B)h=3Vπr2
C)r=3Vπh−−−√
D)r=πh3V−−−√

Answer 1

From the formular given to Jane:

`V = 13( {\pi r}^(2) )h`

making h the subject:

`{ \boxed{ \boxed{h = \frac{V}{13\pi {r}^(2) } }}}`

making r the subject: »

`{r}^(2) = (V)/(13\pi h) \\ \\ { \boxed{ \boxed{r = \sqrt{ (V)/(13\pi h) } }}}`