A company is creating a new cylindrical container to replace its original cylindrical container.

' The new container will have 4 times the volume of the original container.

' The height of the new container will remain the same as the height of the original container.

The length of the radius of the new container will be -

f 4 times the length of the radius of the original container

g 8 times the length of the radius of the original container

h 2 times the length of the radius of the original container

j 16 times the length of the radius of the original container

Question

Physics

Sonny Shepard

21 October, 02:57

A company is creating a new cylindrical container to replace its original cylindrical container.

' The new container will have 4 times the volume of the original container.

' The height of the new container will remain the same as the height of the original container.

The length of the radius of the new container will be -

f 4 times the length of the radius of the original container

g 8 times the length of the radius of the original container

h 2 times the length of the radius of the original container

j 16 times the length of the radius of the original container

+2

Answers (1)

Know the Answer?

Sloane Mccullough · Answer 1

The correct option is h. " 2 times the length of the radius of the original container"

Reason:

V (old) = pi r^2 h ... r = old radius

V (new) = 4pi r^2 h = pi R^2 h R = new radius

4pi r^2 h = pi R^2 h ... pi and h cancel

4r^2 = R^2

R = 2r