fig. 1  Box Volume fig. 2  Box Surface Area
   Volume = LWH    Surface Area = 2(LW+LH+WH)
     reference: Wolfram Math World    Cuboid      reference: Ask Dr. Math: Drexel University    Box
   
fig. 3  Pyramid Volume fig. 4  Pyramid Surface Area
   Volume = LWH/3    Surface Area = L√((L/2)²+H²)+W√((W/2)²+H²)+LW
     reference: Wolfram Math World    Pyramid      reference: Ask Dr. Math: Drexel University    Pyramid
   
fig. 5  Topless Pyramid Volume fig. 6  Topless Pyramid Surface Area
   Volume = (e/3)*((a*b)+(c*d)+sqrt(a*b)+(c*d))    Surface Area = 2*(a+c)*e/2+2*(b+d)*e/2+a*b+c*d
     reference: Wolfram Math World    Topless Pyramid      reference: Ask Dr. Math: Drexel University  Pyramid
   
fig. 7  Cylinder Volume fig. 8  Cylinder Surface Area
   Volume = piR²H    Surface Area = 2πR(R+h)
     reference: Wolfram Math World    Cylinder      reference: Ask Dr. Math: Drexel University    Cylinder
   
fig. 9  Cone Volume fig. 10  Cone Surface Area
   Volume = πR²H/3    Surface Area = πR²+πR√(R²+H²)
     reference: Wolfram Math World    Cone      reference: Ask Dr. Math: Drexel University    Cone
   
fig. 11  Topless Cone Volume fig. 12  Topless Cone Surface Area
   Volume = π(R1²+R1R2+R2²)H/3    Surface Area = π(R²(R2+s)+R1(R1+s))
     reference: Wolfram Math World    Topless Cone      reference: Ask Dr. Math: Drexel University    Cone
   
fig. 13  Sphere Volume fig. 14  Sphere Surface Area
   Volume = 4/3πR³    Surface Area = 4πR²
     reference: Wolfram Math World    Sphere      reference: Ask Dr. Math: Drexel University    Sphere
   
fig. 15  Spherical Cap Volume fig. 16  Spherical Cap Surface Area
   Volume = (π/3)h²(3R-h)    Surface Area = 2πRh
     reference: Wolfram Math World    Spherical Cap      reference:Ask Dr. Math: Drexel University    Sphere
   
fig. 17  Sphere 2 Base Segment Volume fig. 18  Sphere 2 Base Segment Surface Area
   Volume = (π/6)h(3a²+3b²+h²)    Surface Area = 2πRh
     reference: Wolfram Math World    Spherical Segment      reference:Ask Dr. Math: Drexel University    Sphere
   
fig. 19  Spherical Cone Volume fig. 20  Spherical Cone Surface Area
   Volume = (2/3)πR²H    Surface Area = πR(2h+r)
     reference: Wolfram Math World    Spherical Cone      reference:Ask Dr. Math: Drexel University    Sphere
   
fig. 21  Spherical Sector Volume fig. 22  Spherical Sector Surface Area
   Volume = (2/3)πR²h    Surface Area = 2πRh
     reference: Wolfram Math World    Spherical Sector      reference:Ask Dr. Math: Drexel University    Sphere
   
fig. 23  Student t test fig. 24  Pearson r
  print"t =",(ave(x)-ave(y))/sqrt((((n1-1)*var(x)+    print" Pearson r";x=(100,40,95,90,92,85,55,60,98,20)
  (n2-1)*var(y))/((n1+n2)-2)*(1/n1+1/n2))   ;y=(0,95,5,20,30,40,50,70,0,100);print"n=10";n=10;
     print" sumx=",sum(x);print" sumx^2=",sumq(x);print
     " sumy=", sum(y); print" sumy^2=",sumq(y); print
     " sumxy=",sum(x*y);print"r=",(n*sum(x)*sum(y))-
     sum(x)*sum(y))/sqrt((n*sumq(x)-sum(x)^2)*(n*
     sumq(y)-sum(y)^2)
     reference: Wikipedia    Student's t-test      reference: Wikipedia    Pearson r
 
Macros (programs) of 3-D figures
Just copy the program - then paste it into Precise Calculator. You can change the values or lists. Then run the program.

 CYLINDER (do not copy title "CYLINDER")
H=4; R=6; print "Cylinder";
  print " volume= ",pi*R^2*H;
  print " surface area= ",2*pi*R*(R+H); print ""; print
" H= height of cylinder"; print " R= radius of cylinder"
-
Cylinder (solution: do not copy)
  volume= 452.3893421
  surface area= 376.9911184

    H= height of cylinder
    R= radius of cylinder
 SPHERICAL CAP (do not copy title "SPHERICAL CAP")
r=6; h=3; print "Spherical Cap"; print " volume=",(pi/3)
*h^2*(3*r-h); print " surface area=", 2*pi*r*h; print
"";print " r= radius of cap"; print " h= height of cap"
-
Spherical Cap (solution: do not copy)
  volume= 141.3716694
  surface area= 113.0973355

    r= radius of cap
    h= height of cap

 CONE (do not copy title "CONE")
R=6; H=4; print "Cone"; print " volume=", pi*R^2*H/3;
print " surface area=", pi*R^2+pi*R*sqrt(R^2+H^2);
print ""; print " R= radius"; print " H= height"
-
Cone (solution: do not copy)
  volume= 150.7964474
  surface area= 249.0234163

    R= radius
    H= height

 SPHERICAL CONE (do not copy title "SPHERICAL CONE")
r=4; h=3; R=6; print "Spherical Cone"; print "
volume=",2/3*pi*R^2*h; print " surface area=", pi*R*
(2*h+r); print ""; print " R= radius of sphere"; print "
r= radius of cone"; print " h= height of cap"
-
Spherical Cone (solution: do not copy)
  volume= 226.1946711
  surface area= 226.1946711

    R= radius of sphere
    r= radius of cone
    h= height of cap

 PYRAMID (do not copy title "PYRAMID")
L=5; W=6; H=4; print "Pyramid";
print " volume=",L*W*H;
print " surface area= ",L*sqrt((L/2)^2+H^2)+
W*sqrt((W/2)^2+H^2)+L*W;print""; print "
L= length of pyramid base"; print "
W= width of pyramid base";
print " H= height of pyramid"
-
 Pyramid (solution: do not copy)
  volume= 120
  surface area= 83.58495283

   L= length of pyramid base
   W= width of pyramid base
   H= height of pyramid
 TOPLESS CONE (do not copy title "TOPLESS CONE")
R1=6; R2=3; H=4; print "Topless Cone";
print " volume=",pi*(R1^2+R1*R2+R2^2)*H/3;
s=sqrt((R1-R2)^2+H^2);print " surface area=",pi*(R2*
(R2+s)+R1*(R1+s));print"";print" R1= large radius";
print " R2= small radius";print " H= height"

-
Topless Cone (solution: do not copy)
  volume= 263.8937829
  surface area= 282.7433388

    R1= large radius
    R2= small radius
    H= height

 
Reference:
   √ = sqrt
   x² (or exponent 2) = ^2
   π = pi
 
Mathematical References and Formulas:
rfcafe
   Kirt Blattenberger,Erie, PA, (814) 833-1967, rfcafe@earthlink.net
Dr. math forum
   Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104, 215-895-2000
Handbook of Mathematics
   Calculator Operations, Calculator Usage, Special Keys, Algebra, Geometry, Trigonometry, Higher Concepts of Mathematics
 
Mathematical Software:
Maxima Software - Computer Algebra System
   Maxima software is useful for manipulation of symbolic and numerical expressions, ordinary differential equations, polynomials, lists, systems of linear equations and sets.
Documentation & Tutorial
   Designed for the new user Maxima by Example is a series of tutorial notes which include many examples of the power of Maxima.
 
Free Math eBooks:
The Handbook of Essential Mathematics
   205 pages of mathematical formulas and other useful technical information that will serve both students and teachers. A pdf file.
A First Book in Algebra by Wallace C. Boyden
   In preparing this book, the author had especially in mind classes in the upper grades of grammar schools
Algebra for Beginners
   Contents: Addition; Subtraction; The use of Double Signs and Brackets; Multiplication; Division; Simple Equations; The Lowest Common Multiple; Fractions; Quadratic Equations; Simultaneous Equations; Exponential Notation.
Algebra I
   an introduction to algebraic concepts for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.
 
Pyramid Volume and Surface Area
Total Surface Area of a Pyramid
   The total surface area of a pyramid is the sum of the areas of its faces including its base
Analyze Math Pyramid Problems
  http://www.analyzemath.com/Geometry/pyramid_problems.html
   Pyramid problems related to surface area and volume with detailed solutions.
 
Statistical References and Formulas:
   Electronic Statistics Textbook
statsoft textbook
  This Textbook offers training in the understanding and application of statistics. StatSoft has freely provided the Electronic Statistics Textbook as a public service.
 
 
picture from AnVisionWebTemplates.com
FREE TUTORIALS © copyright 2000-2010 @ Cadet Career Counseling all rights reserved
"Cadet Career Counseling" helping cadets make exceptional students.
Contact Webmaster at:(navyfalcon) e-mail
Geometric Formulas http://mathforum.org/dr.math/faq/formulas/index.html Properties of Area Elements http://www.neng.usu.edu/mae/faculty/stevef/info/Area.htm http://www.completeschool.com.au/affiliate.shtml affiliate http://mathforum.org/dr.math/faq/formulas/index.html Geometric Formulas - Two-dimensional figures Three-dimensional figures