A right circular cylinder just encloses a sphere of radius r (as shown in the figure). Then the surface area of the sphere is equal to the curved surface area of the cylinder.

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Solution

True.

Radius of the cylinder = radius of the sphere = r
Height of the cylinder = diameter of the sphere = 2r

∴ Surface area of the cylinder = $2 π r h = 2 π r \times 2 r = 4 π r^{2} = surface area of the s phere$

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A right circular cylinder just encloses a sphere of radius r. Find

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Question 9 (ii)
A right circular cylinder just encloses a sphere of radius r (see figure). Find:

(ii) curved surface area of the cylinder.

A right circular cylinder just encloses a sphere of radius r (see figure). 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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