Geometry: An Interactive Journey to Mastery



volume and surface area of right circular cylinder

V = ʌU^2 h.

lateral area = 2ʌUK.

total surface area = 2ʌUK + 2ʌU^2.

 ͼ௘6HHFigure F.3௘ͽ

YROXPHDQGVXUIDFHDUHDRIFLUFXODUFRQHͼ௘ZLWKFRQHSRLQW

DERYHFHQWHURIEDVH௘ͽ

V =^13 ʌU^2 h.

lateral area = ʌUV.

total surface area = ʌUV + ʌU^2.

 ͼ௘6HHFigure F.4௘ͽ

volume and surface area of a sphere

V =^43 ʌU^3.

total surface area = 4ʌU^2.

 ͼ௘6HHFigure F.5௘ͽ

Trigonometry: Through “Circle-ometry”
VLQ ƒ VLQ  xx
FRV ƒ FRV  xx
sin  xxsin.
cos  xxcos.
cos xx^22  sin 1.

r

h

Figure F.3

r

slant height s

Figure F.4

r

Figure F.5