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 ).
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given
radius of both = r
To find = surface area of sphere and curved surface area of cylinder ,
also ratio between them
surface area of sphere of radius r = 4*pie*r^2
curved surface area of cylinder of radius r = 2*pie*r*h
=2*pie*r^2 (height of cylinder is radius of circle)
ratio of ther areas = 4*pie*r^2/2*pie*r^2
=4/2
=2/1
2:1
radius of both = r
To find = surface area of sphere and curved surface area of cylinder ,
also ratio between them
surface area of sphere of radius r = 4*pie*r^2
curved surface area of cylinder of radius r = 2*pie*r*h
=2*pie*r^2 (height of cylinder is radius of circle)
ratio of ther areas = 4*pie*r^2/2*pie*r^2
=4/2
=2/1
2:1
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