Question

what is the formula of diagonal of cylinder​

Answer 1

Answer:

Longest diagonal of a cylinder: d² = 4 * r² + h² , Surface-area-to-volume ratio of a cylinder: SA:V = A / V = 2 * (r + h) / (r * h)

Answer 2

Diagonal of cylinder is $\sqrt{diameter^{2}+height^{2}}$.

Step-by-step explanation:

1. Let

  Cylinder base diameter = D

  Height of cylinder = H

2. Diagonal of cylinder is defined as largest length of line segment formed in cylinder.

3. So maximum line segment form in cylinder by taking diameter as base and height as perpendicular of right angle triangle. Then hypotenuse will give us diagonal of cylinder.

4.  So

  $Diagonal of cylinder=\sqrt{diameter^{2}+height^{2}}$

   $Diagonal of cylinder=\sqrt{D^{2}+H^{2}}$