Question

GEOMETRY The formula S = 2πrh + 2r² gives the surface area S of a

cylinder with height h and radius r. Solve the formula for h. Find h if
r = 5 centimeters and S = 400 square centimeters.

Answer 1

Explanation:

To solve the formula S = 2πrh + 2r² for h, we need to isolate h on one side of the equation. Here's how we can do it:

Given:

S = 400 square centimeters

r = 5 centimeters

Substitute the given values into the formula:

400 = 2π(5)h + 2(5)²

Simplify:

400 = 10πh + 50

Now, let's isolate the term with 'h':

400 - 50 = 10πh

350 = 10πh

Next, divide both sides of the equation by 10π:

350 / (10π) = h

Simplify:

35 / π = h

So, h is approximately equal to 35/π centimeters.