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CBSE Class 9 Answered

The total surface area of a solid cylinder is 231 cm square and its. Curved surface area is 2/3 of the total surface area find the volume of the cylinder
Asked by digantverma08 | 08 Jan, 2016, 12:18: AM
answered-by-expert Expert Answer
Total space surface space area space of space cylinder space equals 2 πr squared plus 2 πrh equals 231 cm squared Curvedl space surface space area space of space cylinder space equals 2 πrh Given space that comma Curvedl space surface space area space of space cylinder space equals 2 over 3 cross times Total space surface space area space of space cylinder space 2 πrh equals 2 over 3 cross times 231 equals 154 space cm squared straight h equals 77 over πr...... left parenthesis 1 right parenthesis Total space surface space area space of space cylinder space equals 2 πr squared plus 2 πrh 231 cm squared space equals 2 πr squared plus 154 2 cross times 22 over 7 cross times straight r squared equals 77 straight r squared equals 539 over 44 straight r equals. square root of 539 over 44 end root space equals 7 over 2.. left parenthesis 2 right parenthesis Volume space of space cylinder space equals πr squared straight h equals πr squared cross times 77 over πr.... left parenthesis from space left parenthesis 1 right parenthesis right parenthesis equals 77 straight r equals 77 cross times 7 over 2.... left parenthesis from space left parenthesis 2 right parenthesis right parenthesis equals 539 over 2 cm cubed Volume space of space the space cylinder space is space 539 over 2 cm cubed space equals 269.5 cm cubed space.
Answered by Vijaykumar Wani | 08 Jan, 2016, 10:59: AM

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