1 Answer

Nimit Bhardwaj · Answer 1 · 2021-05-27T01:57:11+0000

Solution:

$$h=( 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
$2\pi r$ .

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

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

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

Option C is the correct answer.

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

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