SAT Subject Test Mathematics Level 2

(Marvins-Underground-K-12) #1

3 . C


Draw    a   picture showing the triangle.

The area    of  a   triangle    is   .  The base    of  this    triangle    can be  considered  to
be the side along the y-axis. The length of this side is . The height of this triangle
drawn to the side along the y-axis is the distance from the point to the y-axis. This
distance is the x-coordinate of the point , which is . The area of the triangle is

4 . E


The volume  of  a   right   circular    cone    is   .  If  the radius  of  cone    B   is  x   and the height  is  y,
then the area is . The radius of cone A will be and the height will be , so the
volume is

The ratio   of  the volume  of  cone    A   to  that    of  cone    B   is  therefore

5 . A


The volume  of  a   right   circular    cylinder    having  a   radius  r   and a   height  h   is  πr^2 h. To  find    the
volume of this right circular cylinder, you need its radius and its height. Now the area of a
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