Expression 10: "V" Subscript, "o" "l" "u" "m" "e" , Baseline equals left parenthesis, "V" left parenthesis, "r" , right parenthesis minus "V" left parenthesis, negative "r" , right parenthesis , right parenthesisVolume=Vr−V−r
equals=
904.7 7 8 6 8 4 2 3 4904.778684234
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Expression 11: pi Start integral from negative "r" to "r" , end integral, "f" left parenthesis, "x" , right parenthesis squared "d" "x"π∫r−rfx2dx
equals=
904.7 7 8 6 8 4 2 3 4904.778684234
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Ifølge Archimedes:
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Expression 13: StartFraction, 4 times pi times "r" cubed Over 3 , EndFraction4·π·r33
equals=
904.7 7 8 6 8 4 2 3 4904.778684234
13
Ellipse
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14
Expression 15: left parenthesis, "r" cos "t" , "n" sin "t" , right parenthesisrcost,nsint
domain t Minimum: 00
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: tauτ
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Expression 16: StartFraction, "x" squared Over "r" squared , EndFraction plus StartFraction, "y" squared Over "n" squared , EndFraction equals 1x2r2+y2n2=1
16
Punkter og skydere
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17
25
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Start black, "r" equals 6 End blackr=6
Start black, "n" equals 2 End blackn=2
Start black, "V" Subscript, "o" "l" "u" "m" "e" , Baseline equals pi Start integral from negative "r" to "r" , end integral, "f" left parenthesis, "x" , right parenthesis squared "d" "x" equals 904.7 7 8 6 8 End blackVolume=π∫r−rfx2dx=904.77868