V=r^2+R^2h; Solve for R
Mathematics · College · Tue Nov 03 2020
Answered on
Given the formula for V:
V=r^2+R^2h
Solve for R.
Solution:
In order to solve for R, we equate the given formula in terms of R. We can start by transposing r^2 on the other side of the equation. Note that when transposing a number, the sign changes.
V = r^2 + R^2 h
R^2 h = V -r^2
Divide both sides by h, in order to cancel out R^2h
(R^2 h )/h= (V -r^2)/h
R^2 = (V -r^2)/h
Take the square root of both sides to cancel out R^2
√R^2 = √(V -r^2)/h
R = √(V -r^2)/h
Final answer: R = √(V -r^2)/h