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Volume kerucut dengan diameter alas  dan panjang g...

Volume kerucut dengan diameter alas begin mathsize 14px style 14 space cm end style dan panjang garis pelukisnya size 14px 25 size 14px space size 14px cm adalah?

Jawaban:

Diameter alas begin mathsize 14px style 14 space cm end style maka jari-jari begin mathsize 14px style left parenthesis straight r right parenthesis equals 1 half times 14 space cm equals 7 space cm end style.

Dengan menerapkan teorema pythagoras:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight t subscript kerucut end cell equals cell square root of straight s squared minus straight r squared end root end cell row blank equals cell square root of left parenthesis 25 space cm right parenthesis squared minus left parenthesis 7 space cm right parenthesis squared end root end cell row blank equals cell square root of 625 space cm squared minus 49 space cm squared end root end cell row blank equals cell square root of 576 space cm squared end root end cell row blank equals cell 24 space cm end cell end table end style 

Maka diperoleh volume kerucut, yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell V subscript k e r u c u t end subscript end cell equals cell 1 third times πr squared times straight t end cell row blank equals cell 1 third times 22 over 7 times left parenthesis 7 space cm right parenthesis squared times 24 space cm end cell row blank equals cell 1 third times 22 over 7 times left parenthesis 7 space cm right parenthesis times left parenthesis 7 space cm right parenthesis times 24 space cm end cell row blank equals cell 22 over 3 times 7 space cm squared times 24 space cm end cell row blank equals cell 22 times 7 space cm squared times 8 space cm end cell row blank equals cell 1.232 space cm cubed end cell end table end style  

Jadi, Volume kercut adalah begin mathsize 14px style 1.232 space c m cubed end style.

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