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).



Discussion

No Comment Found