A right circular cylinder just encloses a sphere of radius r (see Fig. 13.22). Find (i) Surface area of the sphere, (ii) Curved surface area of the cylinder (iii) Ratio of the areas obtained in (i) and (ii)

Question

Philoid · Accepted Answer

(i) Surface area of sphere = 4πr²

(ii) Height of cylinder = r + r = 2r

Radius of cylinder = r

CSA of cylinder = 2πrh

= 2πr (2r)

= 4r²

(iii) Ratio =

= = 1

Ratio = 1: 1

A right circular cylinder just encloses a sphere of radius r (see Fig. 13.22). Find(i) Surface area of the sphere,(ii) Curved surface area of the cylinder(iii) Ratio of the areas obtained in (i) and (ii)

A right circular cylinder just encloses a sphere of radius r (see Fig. 13.22). Find
(i) Surface area of the sphere,

(ii) Curved surface area of the cylinder

(iii) Ratio of the areas obtained in (i) and (ii)