InterviewSolution
Saved Bookmarks
| 1. |
Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies. |
|
Answer» Total Surface Area of Cylinder = 2πr2 + 2πrh Given: Radius of the Cylinder varies. Therefore, We need to find \(\frac{ds}{dr}\) where S = Surface Area of Cylinder and r = radius of Cylinder. \(\frac{ds}{dr}=4\pi r + 2\pi h\) Hence, Rate of change of total surface area of the cylinder when the radius is varying is given by (4πr + 2πh). |
|