Question

GUYS I NEED HELP ASAP!!! Help me solve ?

Answer 1

Solution:

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

Given data:

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

Let us determine what is h using given A.

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

Subtract $2\pi r^2$ on both sides of the expression.

⇒ $A-2\pi r^2=2\pi r^2+2\pi r h-2\pi r^2$

⇒ $A-2\pi r^2=2\pi r^2-2\pi r^2+2\pi r h$

⇒ $A-2\pi r^2=2\pi r h$

Divide both sides of the expression by $2\pi r$.

$\frac{ A-2\pi r^2}{2\pi r }=\frac{2\pi rh }{2\pi r }$

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

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

Option C is the correct answer.

Hence $h=\frac{ A-2\pi r^2}{2\pi r }$.