Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the equation or formula for the indicated variable. T= 2 r π h + 2 π r ^2; for h

Answer 1

For this case we have the following equation:

$T = 2 \pi * r * h + 2 \pi * r ^ 2$

We must solve the equation for the variable "h":

We subtract $2 \pi * r ^ 2$ from both sides of the equation:

$T-2 \pi * r ^ 2 = 2 \pi * r * h$

We divide by $2 \pi * r$ on both sides of the equation:

$\frac {T-2 \pi * r ^ 2} {2 \pi * r} = h\\h = \frac {T} {2 \pi * r} - \frac {2 \pi * r ^ 2} {2 \pi * r}\\h = \frac {T} {2 \pi * r} -r$

Answer:

$h = \frac {T} {2 \pi * r} -r$