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Q.

Find the curved surface area (C.S.A.) and total surface area (T.S.A.) of a solid hemisphere of radius Question Image .


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is B.

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Detailed Solution

 The radius of a hemisphere is 14cm14cm .
seoSurface area of a sphereQuestion Image Curved surface area of a hemisphere =Question Image of surface area of a sphere
⇒ Curved surface area of a hemisphere =Question Image Curved surface area of a hemisphere =
Question Image Question ImageTherefore, from above we see that the curved surface area of a hemi sphere of radius Question Image  is Question Image  ∴Total surface area (T.S.A.) of a hemisphere = Curved surface area (C.S.A.) + Area of a circle formed.
⇒ Total surface area of a hemisphere = Question Image ⇒ Total surface area of a hemisphere Question Image Substituting value of radius r Question Image in the above equation. We have,Question Image Therefore, from above we see that the total surface area of a hemisphere of radiusQuestion Image  is Question Image  So, option 2 is correct.
 
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