GMAT Official Guide Quantitative Review 2019_ Book

(singke) #1
3.3 , Geometry

The figure above is a right circular cylinder. The two bases are circles of the same size with centers O and
P, respectively, and altitude (height)研is perpendicular to the bases. The surface area of a right
circular cylinder with a base of radius rand height加s equal to 2(正) + 2 冗rh (the sum of the areas of
the two bases plus the area of the curved surface).

The volume of a cylinder is equal to冗产h, that is,

(area of base) x (height).

In the cylinder above, the surface area is equal to

2 ( 25 冗) +^2 冗( 5 )( 8 ) = 130兀,

and the volume is equal to

25 冗(8) = 200兀


  1. Coordinate Geometry


II

y3

21
I

-4 -3 -2 -1 0


  • 1


1 2 3 4 X

III - 2


  • 3


IV

The figure above shows the (rectangular) coordinate plane. The horizontal line is called the x-axis and
the perpendicular vertical line is called the y-axis. The point at w阮h these two axes intersect,
designated 0, is called the origin. The axes divide the plane into four quadrants, I, II, III, and IV, as
shown.
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