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Two of the simplest sections of a sphere arc the wedge and icecream cone. More c

ID: 1889882 • Letter: T

Question

Two of the simplest sections of a sphere arc the wedge and icecream cone. More complex shapes arc obtained from taking intersections of these shapes. Consider the following shapes: A sphere A hemisphere An icecream cone A wedge taken from a sphere A wedge taken from a hemisphere A wedge taken from an icecream cone For each of the following regions select the shape that best describes it. 0 var theta 1, 0 theta pi/3, 0 Greek phi pi6, 0 var theta 3, 0 theta 2pi, 0 Greek phi pi/2, Bounded by the surfaces x2+y2+z2=3, y=0, y=8x, z=0

Explanation / Answer

1)0<</6 defines an ice cream cone

and 0<</3 takes a wedge out of it so F

2) only goes to half its possible value so B

3) z=0 defines a hemisphere

y=0 and y=8x define a wedge from that hemisphere so E

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