Question

Solve for h
SA = 2pir^2 + 2pirh

Answer 1

To solve for h in the equation SA = 2πr^2 + 2πrh, subtract 2πr^2 from both sides and then divide by 2πr to isolate h.

Step-by-step explanation:

To solve for h in the equation SA = 2πr^2 + 2πrh, we need to isolate h. Let's begin by subtracting 2πr^2 from both sides:

SA - 2πr^2 = 2πrh

Next, divide both sides by 2πr to solve for h:

h = (SA - 2πr^2)/(2πr)

Therefore, the value of h can be found by dividing the difference of SA and 2πr^2 by 2πr.

Answer 2

SA = 2πr² + 2πrh

• Factorize right side

SA = 2πr(r² + h)

• Divide both sides by 2πr

SA/2πr = r² + h

• Move r² to left side

h = r² - (SA/2πr)