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CBSE Class 9 Answered

A cylinder of base diameter 8 cm and height 7 cm is dipped vertically one third in a bucket full of paint. How much area get painted.
Asked by mkmishra101 | 08 Mar, 2016, 01:09: PM
answered-by-expert Expert Answer
begin mathsize 14px style Given colon Base space diameter space of space cylinder space equals space 8 space cm therefore Radius space of space base space of space cylinder space equals space 8 over 2 equals space 4 space cm Height space of space cylinder space equals space 7 space cm therefore One space third space height space of space cylinder space equals space 7 over 3 cm space space space left parenthesis because vertically space one space third space cylinder space is space dipped space in space the space paint space right parenthesis therefore Surfece space area space of space cylinder space that space is space painted comma space equals space Area space of space hollow space cylinder space with space height space of space 7 over 3 cm plus space Area space of space the space base space of space cylinder equals 2 πrh space plus space πr squared equals πr left parenthesis 2 straight h plus straight r right parenthesis Hence comma space area space of space cylinder space that space is space painted comma equals open parentheses straight pi cross times 4 close parentheses open square brackets open parentheses 2 cross times 7 over 3 close parentheses plus 4 close square brackets equals 4 straight pi open parentheses 14 over 3 plus 4 close parentheses equals 4 straight pi open parentheses 26 over 3 close parentheses equals 108.95 space cm squared space space... left parenthesis Substituting space the space values comma right parenthesis end style
Answered by Priti Shah | 09 Mar, 2016, 03:31: PM
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