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APEX Calculus

Section B.4 Areas and Volumes

Triangles
  • h=asin(θ)
  • Area = 12bh
  • Law of Cosines:
    c2=a2+b22abcos(θ)
Right Circular Cone
  • Volume = 13πr2h
  • Surface Area = πrr2+h2+πr2
Parallelograms
  • Area = bh
Right Circular Cylinder
  • Volume = πr2h
  • Surface Area = 2πrh+2πr2
Trapezoids
  • Area = 12(a+b)h
Sphere
  • Volume = 43πr3
  • Surface Area =4πr2
Circles
  • Area = πr2
  • Circumference = 2πr
General Cone
  • Area of Base = A
  • Volume = 13Ah
Sectors of Circles
  • θ in radians
  • Area = 12θr2
  • s=rθ
General Right Cylinder
  • Area of Base = A
  • Volume = Ah
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