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CBSE Class 9 Answered

If the circumference of the base, a hemispherical dome of a building is 352 cm, find the lateral surface area of the dome.
Asked by Topperlearning User | 18 Oct, 2017, 15:02: PM
answered-by-expert Expert Answer

Let r = radius of the base of a hemispherical tomb.

Circumference of the base = 352 cm

 

begin mathsize 12px style 2 πr space equals space 352 space cm
straight r space equals space fraction numerator 352 cross times 7 over denominator 2 cross times 22 end fraction equals space 56 space cm end style

begin mathsize 12px style Lateral space surface space area space equals space 2 πr squared
equals 2 cross times 22 over 7 cross times 56 cross times 56
equals space 19712 space cm squared end style


Lateral surface area of dome is 19712 cm2

Answered by | 18 Oct, 2017, 17:02: PM

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