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AAK

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· 1 Months ago

qn 111705 doubt (Question: 111705.0 )

hemishperical dome ya cylindrical cap ? yahan cylinder ke upar mounted kya hoga?

Question:
If a cylindrical tower D meter in diameter and H meter high is capped with a hemispherical dome, then the total visible surface of the tower will be:
Options:
A) \(\cfrac{\pi D}{2}\left ( 2H+\cfrac {D}{2} \right )\)
B) \(\cfrac{\pi D}{3}\left ( 2H+\cfrac {D}{2} \right )\)
C) \(\cfrac{\pi D}{3}\left ( 2H+D \right )\)
D) \(\cfrac{\pi D}{2}\left ( 2H+D \right )\)
Solution:
Ans: (d)

Total visible surface of tower

=  \(2\pi\times\cfrac{D}{2}\times H+ 2\pi \left ( \cfrac {D}{2} \right )^2\)         


\(=\pi DH+\cfrac{\pi D^2}{2}\)     


=\(\cfrac{\pi D}{2}\left [2H+D \right]\)               

                

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