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Asked by Krrishagrawalrewari | 16 Feb, 2020, 08:23: AM
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The interior of a building is in the form of a cylinder of diameter 4 m and height 3.5 m, surmounted by a cone of the same base with vertical angle as a right angle. Find the surface area (curved) and volume of the building.
 V e r t i c a l space a n g l e space o f space a space c o n e space i s space a space r i g h t space a n g l e U sin g space P y t h a g o r a s space t h e o r e m comma open parentheses D i a m e t e r close parentheses squared equals open parentheses s l a n t space h e i g h t close parentheses squared plus open parentheses s l a n t space h e i g h t close parentheses squared rightwards double arrow space open parentheses 4 close parentheses squared equals 2 l squared rightwards double arrow space l squared equals 8 rightwards double arrow S l a n t space h e i g h t space left parenthesis l right parenthesis space equals space 2 square root of 2 space m S i n c e comma space l equals square root of h squared plus r squared end root rightwards double arrow h e i g h t left parenthesis h right parenthesis equals square root of l squared minus r squared end root equals square root of 8 minus 4 end root equals 2 space m Curved space surface space area space of space cone space equals space πrl space Curved space surface space area space of space cylinder space equals space 2 πrh subscript 1 Curved space surface space area space of space building space space equals space πrl plus 2 πrh equals 22 over 7 cross times 2 cross times 2 square root of 2 plus 2 cross times 22 over 7 cross times 2 cross times 3.5 equals 22 over 7 cross times 2 open parentheses 2 square root of 2 plus 7 close parentheses equals 44 cross times 1.404 equals 61.77 space straight m squared Volume space of space the space building space equals space Volume space of space cylinder space plus space volume space of space cone equals space πr squared straight h subscript 1 plus 1 third πr squared straight h equals 22 over 7 cross times 2 squared open parentheses 3.5 plus 2 over 3 close parentheses equals 52.42 space straight m cubed
Answered by Renu Varma | 17 Feb, 2020, 11:35: AM

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CBSE 10 - Maths
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CBSE 10 - Maths
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CBSE 10 - Maths
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CBSE 10 - Maths
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CBSE 10 - Maths
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CBSE 10 - Maths
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