SAT Math: Geometry and Trigonometry
A cube has an edge length of 68
inches. A solid sphere with a radius of 34
inches is inside the cube, such that the sphere touches the center of each face of the cube. To the nearest cubic inch, what is the volume of the space in the cube not taken up by the sphere?
149,796
164,500
190,955
310,800
A sphere has a radius of feet. What is the volume, in cubic feet, of the sphere?
The length of the edge of the base of a right square prism is 6
units. The volume of the prism is 2,880
cubic units. What is the height, in units, of the prism?
4 \sqrt{30}
36
24 \sqrt{5}
80
What is the diameter of the circle in the -plane with equation ?
4
8
16
32
A circle has a circumference of 31 \pi
centimeters. What is the diameter, in centimeters, of the circle?
A circle in the xy-plane has its center at . Line is tangent to this circle at the point . What is the slope of line ?
3
A circle has center , and points and lie on the circle. In triangle , the measure of is 88^\circ
. What is the measure of , in degrees? (Disregard the degree symbol when entering your answer.)

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An angle has a measure of radians. What is the measure of the angle in ?
In the figure, two lines intersect at a point. Angle 1
and angle 2
are vertical angles. The measure of angle 1
is 72^{\circ}
. What is the measure of angle 2
?
72^{\circ}
108^{\circ}
144^{\circ}
288^{\circ}
A circle has center , and points and lie on the circle. Line segments and are tangent to the circle at points and , respectively. If the radius of the circle is 168
millimeters and the perimeter of quadrilateral is 3,856
millimeters, what is the distance, in millimeters, between points and ?
168
1,752
1,760
1,768