Question

Solve the equation or formula for the indicated variable.

T= 2rπh + 2πr^2; for h


Steps would be much appreciated

Answer 1

h =
`(T - 2\pi r^(2))/(2\pi r)`

Explanation:

T= 2rπh + 2πr²

Subtract terms that don't include the indicated variable from both sides:

T= 2rπh + 2πr² ⇒ T - 2πr² = 2rπh

Divide values being multiplied by indicated variable from both sides:

T - 2πr² = 2rπh ⇒
`(T - 2\pi r^(2))/(2\pi r)` = h