A scanned copy of my notes reviewer in Solid Mensuration. Includes topics in Plane Mensuration.Full description
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a mixed of math courses quizzes and exams.Full description
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4154232123Full description
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thinkiit prefoundation class vii mathematics
Solid Mensuration. I had a hard time in my first year tracking this book, so here, world! :) Have a copy.Full description
Management of solid waste is a major challenge now a days because of industrialization, population and urbanization so that the rate of solid waste is increases. Waste generation creates a problem to environment as well as public health. To minimize
In numerous nations strong waste administration is missing, because of expanding underway of strong waste it leads destructive infections. After reviewing lots of international research articles the current scenario can be controlled by adopting a pr
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board notes class xii
Geometry
Notes on solid state
Full description
SOLID SOLID MENSUR MENSURA ATION TION
Solids for which V=Bh
PRISMS •
Where V = volue of !he "ris AR = $re$ of !he ri%h! sec!io& L = le&%!h of !he l$!er$l side A' = $re$ of !he '$se h = $l!i!ude AL = $re$ of !he l$!er$l side PR = "erie!er of !he ri%h! sec!io& Note !h$! for ri%h! "ris( A R = A' $&d L = h)
Rectangular Parallelepiped (Cuboid)
Cylind er
Solids for which V=*+,-.Bh
Re%ul$r Te!r$hedro&
/RUSTRUM
V
=
( B + b + 3
Bb )
h
PRISMATOID
V
=
( B + b + 4 M ) 6
h
S"here
V
=
S =
4π R
3
3 4π R
2
D π =
3
24
D = π
2
V
V =
π h
2
=
( 3 R − h ) 3
ZR 3
V
π h
=
( 3a
2
+
3b
6
2
+
h
2
)
Z =
2π Rh
•
E$ch side of $ !e!r$dec$%o& is 0e1) Wh$! is i!s $re$2 $) ') c) d) e)
A cor&er lo! of l$&d is -8 o& o&e side s!ree! $&d 38 o& !he o!her s!ree!) The $&%le 'e!wee& !he !wo li&es of !he s!ree! 'ei&% 439) The o!her !wo li&es of !he lo! $re res"ec!ivel: "er"e&dicul$r !o !he li&es of !he s!ree!s) Wh$! is !he wor!h of !he lo! if i!s u&i! "rice is Ph" 3(8;; "er s7u$re e!er2 $) ') c) d) e)
Ph" +)<4 M Ph" 3)3-5 M Ph" +)844 M Ph" +)445 M &o&e of !hese
•
A c:li&dric$l %$soli&e !$&>( l:i&% hori?o&!$ll:( ;)<; e!ers i& di$e!er $&d - e!ers lo&% is @lled !o $ de"!h of ;)6 e!ers) ow $&: %$llo&s of %$soli&e does i! co&!$i&2 $) ') c) d) e)
A heis"heric$l !$&> co&!$i&s li7uids A $&d B wi!h $ !o!$l de"!h of +3 c) wi!h li7uid B o& !o" of li7uid A) Li7uid A h$s $ de"!h of 4 c) If !he volue of li7uids A $&d B $re e7u$l) o"u!e !he R$dius of !he !$&>) $) ') c) d) e)
+5)6 c -)86 c +3)85 c 34)5 c &o&e of !hese
•
To wh$! hei%h! us! $ $& 'e r$ised $'ove !he e$r!h i& order !o see o&eF four!h of i!s surf$ce2 $) ') c) d) e)
h!) = r$dius of !he e$r!h h!) = di$e!er of !he e$r!h h!) = h$lf of !he e$r!hGs r$dius h!) = !wice !he r$dius &o&e of !hese
•
/i&d !he $re$ of !he e$r!hGs surf$ce wi!hi& !he Arc!ic ircleH !h$! is( i& l$!i!ude &or!h of 669-3G N( !he $""roi$!e r$dius of !he e$r!h is -<6; iles) $) ') c) d) e)
