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Hitunglah luasbangun ruang berikut!

 Hitunglah luas  bangun ruang berikut!

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D. Enty

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luas permukaanbangun tersebut

luas permukaan bangun tersebut begin mathsize 14px style 3.768 space cm squared end style   

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Pembahasan

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Jadi, luas permukaanbangun tersebut

 V subscript k e r u c u t end subscript equals 1 third cross times straight pi cross times straight r squared cross times straight t 4.710 equals 1 third cross times 3 comma 14 cross times straight r squared cross times 20 straight r squared equals fraction numerator 4.710 cross times 3 over denominator 62 comma 8 end fraction straight r squared equals 225 straight r equals plus-or-minus square root of 225 straight r equals plus-or-minus 15 space cm 

begin mathsize 14px style panjang space garis space pelukis space kerucut open parentheses straight s close parentheses equals square root of t squared plus r squared end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 20 squared plus 15 squared end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 400 plus 225 end root space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 25 space cm end style 

table attributes columnalign right center left columnspacing 0px end attributes row cell Luas space permukaan end cell equals cell straight L subscript selimut space kerucut end subscript plus straight L subscript selimut space tabung end subscript plus straight L subscript alas space tabung end subscript end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell πrs plus 2 πrt plus πr squared end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell πr left parenthesis straight s plus 2 straight t plus straight r right parenthesis end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 3 comma 14 times 15 times left parenthesis 25 plus 2 times 20 plus 15 right parenthesis end cell row blank equals cell 47 comma 1 times 80 space end cell row cell space space space space space space space space space space space space space space space space space space space space space space space space space space end cell equals cell 3.768 space cm squared end cell end table    

Jadi, luas permukaan bangun tersebut begin mathsize 14px style 3.768 space cm squared end style   

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