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Lengkapilah tabel bangun ruang bola berikut ini dengan tepat! Kerjakan dengan jujur!

Pertanyaan

Lengkapilah tabel bangun ruang bola berikut ini dengan tepat! Kerjakan dengan jujur!


Pembahasan Soal:

No. 3

Diketahui begin mathsize 14px style straight L equals 9.856 space cm squared end style, maka:

Jari-jari bola.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight L equals cell 4 straight pi r squared end cell row cell 9.856 end cell equals cell 4 times 22 over 7 times r squared end cell row cell 9.856 end cell equals cell 88 over 7 times r squared end cell row cell 9.856 times 7 over 88 end cell equals cell r squared end cell row cell 112 times 7 end cell equals cell r squared end cell row 784 equals cell r squared end cell row cell r squared end cell equals 784 row r equals cell plus-or-minus square root of 784 end cell row r equals cell plus-or-minus 28 space cm end cell end table end style   

Panjang jari-jari bola tidak mungkin negatif, maka pilih begin mathsize 14px style r equals 28 space cm end style.

Sehingga, jari-jari bola tersebut adalah size 14px 28 size 14px space size 14px cm.

Diameter bola.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row d equals cell 2 r end cell row blank equals cell 2 times 28 end cell row blank equals cell 56 space cm end cell end table end style 

Jadi, diameter bola tersebut adalah begin mathsize 14px style 56 table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table end style.

No. 4

Diketahui begin mathsize 14px style straight L equals 2.826 space cm squared end style, maka:

Jari-jari bola.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight L equals cell 4 straight pi r squared end cell row cell 2.826 end cell equals cell 4 times 3 comma 14 times r squared end cell row cell 2.826 end cell equals cell 12 comma 56 times r squared end cell row cell fraction numerator 2.826 over denominator 12 comma 56 end fraction end cell equals cell r squared end cell row 225 equals cell r squared end cell row cell r squared end cell equals 225 row r equals cell plus-or-minus square root of 225 end cell row r equals cell plus-or-minus 15 space cm end cell end table end style 

Panjang jari-jari bola tidak mungkin negatif, maka pilih begin mathsize 14px style r equals 15 space cm end style.

Sehingga, jari-jari bola tersebut adalah size 14px 15 size 14px space size 14px cm.

Diameter bola.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row d equals cell 2 r end cell row blank equals cell 2 times 15 end cell row blank equals cell 30 space cm end cell end table end style 

Jadi, diameter bola tersebut adalah begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 30 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cm end table end style.

No. 5

Diketahui begin mathsize 14px style straight L equals 5.024 space cm squared end style, maka:

Jari-jari bola.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight L equals cell 4 straight pi r squared end cell row cell 5.024 end cell equals cell 4 times 3 comma 14 times r squared end cell row cell 5.024 end cell equals cell 12 comma 56 times r squared end cell row cell fraction numerator 5.024 over denominator 12 comma 56 end fraction end cell equals cell r squared end cell row 400 equals cell r squared end cell row cell r squared end cell equals 400 row r equals cell plus-or-minus square root of 400 end cell row r equals cell plus-or-minus 20 space cm end cell end table end style 

Panjang jari-jari bola tidak mungkin negatif, maka pilih table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px r end table table attributes columnalign right center left columnspacing 0px end attributes row blank size 14px equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px cm end table.

Sehingga, jari-jari bola tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px cm end table.

Diameter bola.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row d equals cell 2 r end cell row blank equals cell 2 times 20 end cell row blank equals cell 40 space cm end cell end table end style 

Jadi, diameter bola tersebut adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px 40 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank size 14px cm end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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