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ICSE Class 9 Answered

the sum of height and radius of a solid cylinder is 35 cm and its T.S.A IS  3080 cm2, find the volume of the cylinder.
Asked by nisha_vini29 | 06 Dec, 2015, 11:43: PM
answered-by-expert Expert Answer

begin mathsize 14px style F o r space a space c y l i n d e r comma r plus h equals 35 space c m T S A equals 3080 space c m squared N o w comma space T S A equals 2 πr left parenthesis straight r plus straight h right parenthesis rightwards double arrow 3080 equals 2 cross times 22 over 7 cross times straight r cross times 35 rightwards double arrow 3080 equals 44 cross times straight r cross times 5 rightwards double arrow straight r equals fraction numerator 3080 over denominator 44 cross times 5 end fraction equals 14 Now comma straight r plus straight h equals 35 rightwards double arrow 14 plus straight h equals 35 rightwards double arrow straight h equals 35 minus 14 equals 21 Volume space of space cylinder equals πr squared straight h equals 22 over 7 cross times 14 cross times 14 cross times 21 equals 12936 space cm cubed end style

Answered by | 07 Dec, 2015, 06:04: PM

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