How do you solve for h in the following equation: 48π =2πrh + 2πr^2

Question

please show step-by-step process of doing so

Answer 1

Subtract 2πr² from both sides. That gives you:

48π - 2πr² = 2πrh

Now divide both sides by 2πr to get:

(48π - 2πr²)/2πr = h

Although this is correct, it is not simplified. This equation can be simplified before you start by dividing each expression by 2π to make it:

48π/2π = 2πrh/2π + 2πr²/2π

24 = rh + r² then subtract r² from both sides to get:

24 - r² = rh and then divide both sides by "r" to get:

(24 - r²)/r = h