Roboguru

Jari-jari alas suatu kerucut 5 cm dan panjang gari...

Jari-jari alas suatu kerucut 5 cm dan panjang garis pelukisnya 13 cm. Hitunglah volume kerucut! 

Jawaban:

Tinggi kerucut dapat dicari dengan teorema phytagoras

begin mathsize 14px style t equals square root of s squared minus r squared end root space equals square root of 13 squared minus 5 squared end root space equals square root of 169 minus 25 end root space equals square root of 144 t equals 12 space cm end style  

begin mathsize 14px style volume space kerucut space space space equals 1 third cross times straight pi cross times straight r squared cross times straight t 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 fraction numerator 1 over denominator up diagonal strike 3 end fraction cross times 3 comma 14 cross times 5 cross times 5 cross times stack up diagonal strike 12 with 4 on top 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 314 space cm cubed end style 

Jadi, volume kerucut 314 cm3

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