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Lesson 8 SOLIDS OFREVOLUTION AND COMPOSITE

SOLIDS

Week 10

MATH13-1Soli Mens!"#$ion

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Ci"%!l#" o" Rin& To"!s

A o!&'n!$-s'#(e) $'"ee i*ension#l +&!"e&ene"#$e , "e.ol.in& # %i"%le #,o!$ #n #/is ini$s (l#ne) ,!$ no$ in$e"se%$in& $'e %i"%le i$sel

T'e line "#2n $'"o!&' $'e %en$e" o $o"!s is

$'e axis of torus) #lso %#lle $'e axis ofrotation

T'e radius of the cross-section ro $'e$!,e is $'e "#i!s o $'e "o$#$in& %i"%le

T'e radius of torus Ris $'e is$#n%e "o*$'e %en$e" o $'e %"oss-se%$ion $o $'e #/is o$o"!s

Ree"en%e Soli Mens!"#$ion Une"s$#nin& $'e 3-D S(#%e ,

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Ci"%!l#" o" Rin& To"!s

Ree"en%e Soli Mens!"#$ion Une"s$#nin& $'e 3-D S(#%e ,

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S!"#%e A"e# #n Vol!*e oTo"!s

S!"#%e A"e#

S4 567rR

Vol!*e

V4 767r7R

Ree"en%e Soli Mens!"#$ion Une"s$#nin& $'e 3-D S(#%e ,

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Ci"%!l#" P#"#,oloi

A soli o"*e , "e.ol.in& # (#"#,ol##,o!$ i$s #/is

T'e line %on$#inin& $'e .e"$e/ #n $'eo%!s o $'e (#"#,ol# is $'e axis ofparabola) o" $'e axis of rotation

E.e" se%$ion (e"(eni%!l#" $o $'e #/is is# %i"%le

Ree"en%e Soli Mens!"#$ion Une"s$#nin& $'e 3-D S(#%e ,

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Vol!*e o One-#seP#"#,oloi

V4 96r7h

Ree"en%e Soli Mens!"#$ion Une"s$#nin& $'e 3-D S(#%e ,

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Vol!*e o T2o-#seP#"#,oloi

V4 96h:a7; b7