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Show that the surface area of a sphere i...

Show that the surface area of a sphere is the same as that of the lateral surface of a right circular cylinder that just encloses the sphere.

Text Solution

Verified by Experts

`D_(cyli nder)=D_(sphere)`
`r_(cyli nder)=r_(sphere)`
`h_(cyli nder)=D_(sphere)`
`(S.A)_(sphere)=4pir^2`
`(S.A)_(cyli nder)=2*pi*r*2r=4pir^2`
`(S.A)_(sphere)=(L.S.A)_(cyli nder)`.
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RD SHARMA ENGLISH-SURFACE AREA AND VOLUME OF A SPHERE -All Questions
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