The formula for the surface area of a cylinder is A-2πr^2+2πrh. Mr. Sanders asks his students to rewrite the formula solved for h. The table shows the responses of four students…

Question

asked Jul 7, 2024 199k views

1 Answer

Jinlye · Answer 1 · 2024-07-12T23:46:25+0000

Answer:

Renee

Explanation:

We have the formula for total surface area of a cylinder as

$A = 2 \pi r^2 + 2 \pi rh$

First switch sides so the h term is on the left side:

$2 \pi r^2 + 2 \pi rh = A$

Subtract
$2\pi r^2$ from both sidess:

$2 \pi rh = A - 2 \pi r^2$

Divide both sides by
$2 \pi rh$ :

$h = (A-2\pi r^2)/(2\pi r)$

This corresponds to Renee's answer so Renee is correct