1) The answer, in terms of "π", is:
_________________________________
" (
) * π mm³ " .
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2) The answer, using "3.14" for "π", is:
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" 1436.0266666666666667 mm³ " ; round to: " 1436.027 mm³ " ;
or; write as: " 1436
mm³ " .
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Explanation:
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The formula for the volume, "V" of a sphere is:
V =
* π* r³ ;
in which "r" = radius = "7 mm" {given}.
We can solve using "3.14" for "π" ; or we can solve in terms of "π" ;
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1) In terms of "π" :
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V =
* π * r³ ;
=
* π * (7 mm)³ ;
=
* π * (7 * 7 * 7 * mm³) ;
=
* π * (49 * 7 * mm³) ;
=
* π * (343 mm³) ;
=
) * π mm³
= (
) * π mm³ ;
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2) Using "3.14" for "π" :
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V =
* π * r³ ;
=
* (3.14)* (7 mm)³ ;
=
* (3.14) * (7 * 7 * 7 * mm³) ;
=
* (3.14) * (49 * 7 * mm³) ;
=
* (3.14) * (49 * 7 * mm³) ;
=
* (3.14) * (343 mm³) ;
= {
} * (3.14 * 343 mm³) ;
= {
} * (1077.02 mm³) ;
= (4 * 1077.02 mm³) / 3 ;
= (4308.08 mm³) / 3 ;
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= 1436.0266666666666667 mm³ ; round to: " 1436.027 mm³ " ;
or; write as: " 1436
mm³ " .
__________________________________________________________