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CBSE Class 9 Answered

A right circular cone is formed by bending a semicircular piece of paper of radius 8 cm. Determine the curved surface area of the cone.
Asked by Topperlearning User | 17 Oct, 2017, 08:03: AM
answered-by-expert Expert Answer


begin mathsize 12px style Slant space height space left parenthesis straight l right parenthesis space equals space 8 space cm. Let space straight r space be space the space radius space of space the space cone. Circumeference space of space the space base space of space the space cone space equals space fraction numerator circumference space of space the space circle over denominator 2 end fraction 2 πr space equals space fraction numerator 2 straight pi cross times 8 over denominator 2 end fraction straight r space equals space 4 space cm space Lateral space surface space area space equals space πrl space Lateral space surface space area equals space 22 over 7 cross times 4 cross times 8 Lateral space surface space area equals space 704 over 7 space Lateral space surface space area equals space 100.57 space cm squared space left parenthesis approx. right parenthesis end style

Answered by | 17 Oct, 2017, 10:03: AM

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