Question

Solve the formula for x.
V=2πrx+6πr2

Answer 1

x=−18.849556r2+v/6.283185r

Explanation:

Step 1: Flip the equation.

18.849556r2+6.283185rx=v

Step 2: Add -18.849556r^2 to both sides.

18.849556r2+6.283185rx+−18.849556r2=v+−18.849556r2

0r 2+6.283185rx=−18.849556r2+v

Step 3: Divide both sides by 6.283185r. 0r2+6.283185rx/

6.283185r = −18.849556r2+v/6.283185r

x=−18.849556r2+v/6.283185r

Answer 2

Let's see

`\\ \rm\Rrightarrow V=2\pi rx+6\pi r^2`

`\\ \rm\Rrightarrow V=2\pi r(x+3r)`

`\\ \rm\Rrightarrow (V)/(2\pi r)=x+3r`

`\\ \rm\Rrightarrow x=(V)/(2\pi r)-3r`