Roboguru

Ayo, tentukan volume gabungan bangun ruang berikut!

Pertanyaan

Ayo, tentukan volume gabungan bangun ruang berikut!

Pembahasan Soal:

Diketahui:

Kerucut dengan tinggi begin mathsize 14px style 15 space cm end style.

Jari-jari bola dan kerucut begin mathsize 14px style 10 space cm end style.

begin mathsize 14px style straight pi equals 3 comma 14 end style karena jari-jari bangun ruang bukan kelipatan tujuh.

  • Volume kerucut

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight V subscript kerucut end cell equals cell 1 third πr squared straight t end cell row blank equals cell 1 third cross times 3 comma 14 cross times 10 squared cross times 15 end cell row blank equals cell 3 comma 14 cross times 100 cross times 5 end cell row blank equals cell 1.570 space cm cubed end cell end table end style

  • Volume setengah bola

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight V subscript 1 half bola end subscript end cell equals cell 1 half cross times 4 over 3 πr cubed end cell row blank equals cell 1 half cross times 4 over 3 cross times 3 comma 14 cross times 10 cubed end cell row blank equals cell fraction numerator 4 cross times 3 comma 14 cross times 1.000 over denominator 6 end fraction end cell row blank equals cell fraction numerator 12.560 over denominator 6 end fraction end cell row blank equals cell 2.093 comma 3 space cm cubed end cell end table end style

  • Volume gabungan

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight V space gabungan end cell equals cell straight V subscript kerucut plus straight V subscript 1 half bola end subscript end cell row blank equals cell 1.570 space cm cubed plus 2.093 comma 3 space cm cubed end cell row blank equals cell 3.663 comma 3 space cm cubed end cell end table end style

Maka, volume gabungan bangun ruang adalah begin mathsize 14px style 3.663 comma 3 space cm cubed end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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