Question

Marta is solving the equation S=2πRH+2πR^2 for H. What should be the result?

Answer 1

To solve for H in the equation S = 2πRH + 2πR^2, you need to subtract 2πR^2 from both sides and then divide by 2πR, resulting in H = (S - 2πR^2) / 2πR.

Step-by-step explanation:

The student is asking to solve the equation S = 2πRH + 2πR2 for H. To isolate H, we have to follow a series of algebraic steps:

1. Subtract 2πR2 from both sides of the equation to get S - 2πR2 = 2πRH.
2. Divide both sides of the equation by 2πR to obtain (S - 2πR2) / 2πR = H.

Therefore, the resulting expression for H in terms of S and R is H = (S - 2πR2) / 2πR.