Q. 245.0( 1 Vote )

Prove that

Answer :


Let the radius and height of cone be r and h respectively


It is given that volume of cone is fixed.


Volume of cone, V =


h = …1


Curved surface area of cone, S = πrl (l is slant height)


Since,





So,



Condition for maxima and minima is






…2



For , > 0


S will be minimum for


From equation 1


(from equation 3)


h = √2 r

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
caricature
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