Of all the closed

Let r be the radius and h be the height of the cylinder.

Let V be the volume of the cylinder. Then

V = πr2h = 100(given)

h =

hen, the surface area (S) of the cylinder is given by:

S = 2πr2 + 2πrh

Now, , <0

If

So, when then > 0

Then, by second derivative test, the surface area is the minimum when

Now, when then h = cm.

Therefore, the dimensions of the can which has the minimum surface area are and h cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

If the sum of theMathematics - Board Papers

A metal box with Mathematics - Board Papers

Show that aRD Sharma - Volume 1

Find the local maMathematics - Board Papers

Prove that the seMathematics - Board Papers

Prove that the raMathematics - Board Papers

Prove that the leMathematics - Board Papers