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Jawaban:

Diketahui:

Jari-jari kerucut begin mathsize 14px style straight r equals 8 space cm end style 

Garis pelukis begin mathsize 14px style straight s equals 10 space cm end style 

Gunakan nilai begin mathsize 14px style straight pi equals 3 comma 14 end style, karena jari-jari kerucut bukan kelipatan tujuh. 

Tentukan terlebih dahulu tinggi kerucut menggunakan Teorema Pythagoras.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell TO squared end cell equals cell TA squared minus OA squared end cell row TO equals cell plus-or-minus square root of TA squared minus OA squared end root end cell row blank equals cell plus-or-minus square root of 10 squared minus 8 squared end root end cell row blank equals cell plus-or-minus square root of 100 minus 64 end root end cell row blank equals cell plus-or-minus square root of 36 end cell row blank equals cell plus-or-minus 6 end cell row blank equals cell 6 space cm end cell end table end style

Tinggi kerucut begin mathsize 14px style straight t equals 6 space cm end style.

Volume kerucut adalah sebagai berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight V equals cell 1 third cross times luas space alas cross times tinggi end cell row blank equals cell 1 third cross times straight pi cross times straight r squared cross times straight t end cell row blank equals cell 1 third cross times 3 comma 14 cross times 8 squared cross times 6 end cell row blank equals cell fraction numerator 1205 comma 76 over denominator 3 end fraction end cell row blank equals cell 401 comma 92 space cm cubed end cell end table end style

Maka, volume kerucut adalah begin mathsize 14px style 401 comma 92 space cm cubed end style.

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