If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is

(a) 1 : 2
(b) 2 : 1
(c) 1 : 4
(d) 4 : 1 [CBSE 2012]

Question

If the radius of the base of a right circular cylinder is halved- keeping the height same- what is the ratio of the volume of the reduced cylinder to that of the original-1-31-71-51-4

Toppr Admin · Accepted Answer

Circular cylinder-apos-s radius-rheight-hkeeping the height same- -xA0-radius is halvedradius of new-xA0-circular cylinder-r-2So- ratio of volume - volume of reduced cylinder-volume of original cylinderRatio-x3A0-r-22h-x3A0-r-2hRatio-1-4

If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original.
$1 : 3$
$1 : 7$
$1 : 5$
$1 : 4$

circular cylinder's radius=r
height=h
keeping the height same, radius is halved
radius of new circular cylinder=r/2
So, ratio of volume = volume of reduced cylinder/volume of original cylinder
$R a t i o = Π {r / 2}^{2} h / Π {(r)}^{2} h$
$R a t i o = 1 / 4$

If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original.1:31:71:51:4

circular cylinder's radius=rheight=hkeeping the height same, radius is halvedradius of new circular cylinder=r/2So, ratio of volume = volume of reduced cylinder/volume of original cylinderRatio=Πr/22h/Π(r)2hRatio=1/4

If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original.
$1 : 3$
$1 : 7$
$1 : 5$
$1 : 4$

circular cylinder's radius=r
height=h
keeping the height same, radius is halved
radius of new circular cylinder=r/2
So, ratio of volume = volume of reduced cylinder/volume of original cylinder
$R a t i o = Π {r / 2}^{2} h / Π {(r)}^{2} h$
$R a t i o = 1 / 4$