Home
Class 12
MATHS
The height 'h' and radius 'r' of a right...

The height 'h' and radius 'r' of a right circular cylinder which is open at the top and has a given surface area, will have the greatest volume if

A

2 h = r

B

h = 4r

C

h = r

D

h = 2 r

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The height and radius of the base of a right circular cylinder is 'r'. Find its totalsurface area.

If h is the height and r is the base radius of an open right circular cylinder of given volume has least surface area, then

An open cylinder of given surface will have maximum volume if radius =

The height of a right circular cylinder of maxium volume inscirbed in a sphere of radius 3 is

The total surface area of a right circular cylinder with radius of the base 7 cm and height 20 cm, is :

The total surface area of a right circular cylinder whose height is 15 cm and the radius of the base is 7 cm, is

The radius of right circular cylinder is 14 cm. If its total surface area is 3872 cm^(2) , then find its height.

Show that the right circular cylinder,open at the top,and of given surface area and maximum volume is such that its height is equal to the radius of the base.