A right circular cylinder just encloses a sphere of radius r . Find
(i) surface area of the sphere,
(ii) curved surface area of the cylinder,
(iii) ratio of the areas obtained in (i) and (ii).
(i) surface area of the sphere,
(ii) curved surface area of the cylinder,
(iii) ratio of the areas obtained in (i) and (ii).
Add an Answer
More Questions From This User See All
Answers & Comments
ii) Height of the cylinder(h)= r + r = 2r
Curved surface area of the cylinder = 2πrh = 2πr(2r)
= 4πr2
iii) ratio of the areas of (i) and (ii ).
= 4πr2 : 4πr2
= 1:1
Given: radius of sphere = r. and,
radius of cylinder = r
surface area of sphere = 4πr^2 ------(1)
height of cylinder (h)= r+r = 2r.
curved surface area of cylinder = 2πrh
= 2πr×2r
= 4πr^2. -----------------(2)
ratio = surface area of sphere / curved surface area of cylinder
= 4πr^2 / 4πr^2
= 1 : 1 ----------------(3).