Question

Solve the equation M=7r2h/19 for r in terms of M and h. Assume r, M and h are all positive.

Answer 1

`r=(19M)/(14h)`

Explanation:

The equation is given as:

`M=(7r2h)/(19)`

Assuming all the unknown variables are positive, we can make
`r` the subject of the formula to obtain it in terms of M & h:

`M=(7r2h)/(19)\\M*19=7r2h\\\\(19M)/(2h)=7r\\\\r=(19M)/(2h*7)\\\\r=(19M)/(14h)`

or
`r=1.3571M/h`

Hence, r as in terms of M& H is given as

`r=(19M)/(14h) \ or \ 1.3571M/h`