Home
Class 20
MATHS
[" The sum of the surface areas of a rec...

[" The sum of the surface areas of a rectangular parallelepiped with side "x,2x],[" and "(x)/(3)" and a sphere gives to the constant.Prove that the sum of their "],[" volume is minimum if "x" is equal to three times the radius of sphere.Find "],[" the minimum value of the sum of the volumes."]

Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of the surface areas of a rectangualr parallelopiped with sides x, 2 x and x/3 and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if x is equal to three times the radius of the sphere. Also find the minimum value of the sum of their volumes.

The sum of the surface areas of the rectangular parallelopiped with sides x,2x and (x)/(3) and a sphere is given to be constant. Prove that the sum of the volumes is minimum, if x is equal to three xx the radius of the sphere.Also,find the minimum value of the sum of their volumes.

The sum of the surface areas of a cuboid with sides x,2x and (x)/(3) and a sphere is given to be constant.Prove that the sum of their volumes is minimum,if x is equal to three xx the radius of sphere.Also find the minimum value of the sum of their volumes.

The sum of the surface areas of a cuboid with sides x ,2x and x/3 and a sphere is given to be constant. Prove that the sum of their volumes is minimum, if x is equal to three times the radius of sphere. Also find the minimum value of the sum of their volumes.

The sum of surface areas of a sphere and a cuboid with sides x/3,x and 2x , is constant. Show that the sum of their volumes is minimum if x is equal to three times the radius of sphere.

The sum of surface areas of a sphere and a cuboid with sides (x)/(3),x and 2x, is constant. Show that the sum of their volumes is minimum if x is equal to three xx the radius of sphere.

The sum of surface areas of a sphere and a cuboid 2x, is with sides x and constant.Show that the sum of their volumes is minimum if r is equal to three xx the radius of sphere.

The radius of the sphere is 2x, then is volume will be