Expression 14: Start integral from negative "r" to "r" , end integral, pi left parenthesis, left parenthesis, StartRoot, "r" squared negative "x" squared , EndRoot , right parenthesis squared negative 0 squared , right parenthesis "d" "x"∫r−rπr2−x22−02dx
equals=
268.0 8 2 5 7 3 1 0 6268.082573106
14
Volume by Integration (Shells)
15
Expression 16: Start integral from 0 to "r" , end integral, 2 pi "x" left parenthesis, StartRoot, "r" squared negative "x" squared , EndRoot negative left parenthesis, negative StartRoot, "r" squared negative "x" squared , EndRoot , right parenthesis , right parenthesis "d" "x"∫r02πxr2−x2−−r2−x2dx
equals=
268.0 8 2 5 7 3 1 0 6268.082573106
16
Surface Area
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17
Surface Area by Formula
18
Expression 19: 4 pi "r" squared4πr2
equals=
201.0 6 1 9 2 9 8 3201.06192983
19
Surface Area by Integration (Rings)
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Expression 21: Start integral from negative "r" to "r" , end integral, 2 pi StartRoot, "r" squared negative "x" squared , EndRoot StartRoot, left parenthesis, negative StartFraction, "x" Over StartRoot, "r" squared negative "x" squared , EndRoot , EndFraction , right parenthesis squared positive 1 , EndRoot "d" "x"∫r−r2πr2−x2−xr2−x22+1dx
equals=
201.0 6 1 9 2 9 8 3201.06192983
21
Perspective View
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22
Expression 23: theta Subscript, "h" "o" "r" "i" "z" "o" "n" "t" "a" "l" , Baseline equals negative 0.5θhorizontal=−0.5
