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Sebuah mangkuk aluminium berbentuk setengah bola dengan diameter 14 cm berisi penuh cairan raksa. Bila mangkuk dipanaskan sebesar 90 ° C, maka volume raksa yang tumpah sebesar …. (koefisien muai panjang alumunium 24 × 10 –6 /°C dan koefisien muai volume raksa 1,8 × 10 –4 /°C)

Sebuah mangkuk aluminium berbentuk setengah bola dengan diameter 14 cm berisi penuh cairan raksa. Bila mangkuk dipanaskan sebesar 90°C, maka volume raksa yang tumpah sebesar …. (koefisien muai panjang alumunium 24 × 10–6/°C dan koefisien muai volume raksa 1,8 × 10–4/°C)

  1. 0,01 liter

  2. 0,02 liter

  3. 0,03 liter

  4. 0,04 liter

  5. 0,05 liter

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A. Aulia

Master Teacher

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Volume mangkuk yang tumpah :

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell V subscript 0 end cell equals cell 4 over 3 pi r cubed equals 4 over 3.22 over 7. left parenthesis 0 comma 07 right parenthesis squared equals 0 comma 02 space m cubed end cell row cell V subscript m a n g k u k end subscript end cell equals cell V subscript r a k s a end subscript equals V subscript 0 end cell end table end style 


Volume mangkuk yang tumpah :

table attributes columnalign right center left columnspacing 0px end attributes row cell straight V subscript tumpah end cell equals cell straight V to the power of apostrophe subscript raksa minus straight V to the power of apostrophe subscript mangkuk end cell row cell straight V subscript tumpah end cell equals cell straight V subscript 0 plus straight V subscript 0 straight gamma subscript raksa increment straight T minus left parenthesis straight V subscript 0 plus straight V subscript 0 straight gamma subscript mangkuk increment straight T right parenthesis end cell row cell straight V subscript tumpah end cell equals cell straight V subscript 0 plus straight V subscript 0 straight gamma subscript raksa increment straight T minus straight V subscript 0 minus straight V subscript 0 straight gamma subscript mangkuk increment straight T end cell row cell straight V subscript tumpah end cell equals cell straight V subscript 0 straight gamma subscript raksa increment straight T minus straight V subscript 0 3 straight alpha subscript alumunium increment straight T end cell row cell straight V subscript tumpah end cell equals cell straight V subscript 0 increment straight T left parenthesis straight gamma subscript raksa minus 3 straight alpha subscript alumunium right parenthesis end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 0 comma 02 right parenthesis left parenthesis 90 right parenthesis left parenthesis 1 comma 8 cross times 10 to the power of negative 4 end exponent minus 3 left parenthesis 24 cross times 10 to the power of negative 6 end exponent right parenthesis right parenthesis end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 1 comma 8 right parenthesis left parenthesis 1 comma 8 cross times 10 to the power of negative 4 end exponent minus 72 cross times 10 to the power of negative 6 end exponent right parenthesis end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 1 comma 8 right parenthesis left parenthesis 1 comma 8 cross times 10 to the power of negative 4 end exponent minus 0 comma 72 cross times 10 to the power of negative 4 end exponent right parenthesis end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 1 comma 8 right parenthesis left parenthesis 1 comma 08 cross times 10 to the power of negative 4 end exponent right parenthesis end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 0 comma 504 cross times 10 to the power of negative 4 end exponent right parenthesis space straight m cubed end cell row cell straight V subscript tumpah end cell equals cell left parenthesis 0 comma 504 cross times 10 to the power of negative 4 end exponent right parenthesis cross times 10 cubed right parenthesis space dm cubed end cell row cell straight V subscript tumpah end cell equals cell 0 comma 05 space liter end cell end table 

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