AnswersOC27 GEO-1206310-S2-Degele-VOL7006PVolume of Cylinders, Cones, and Spheres

Volume of Cylinders, Cones, and Spheres — Unit test Answers

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5

A cross section is made by the intersection of a plane and a square pyramid at an angle either parallel or perpendicular to the base.The cross section can be which of these shapes? Select three options.squaretriangletrapezoidcirclenon-square rectangle

A
square
B
triangle
C
trapezoid
D
circle
E
non-square rectangle
9

On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2).

Question illustration
A
The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
B
The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2.
C
The area of parallelogram 1 is equal to the area of parallelogram 2.
D
The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
10

A polygon with 3 sides is stacked to form a prism.

Question illustration
A
square
B
trapezoid
C
triangle
D
non-square rectangle
11

Which statements about the cylinder are true? Select two options.

A
The radius of the cylinder is 2x units.
B
The area of the cylinder’s base is πx2 square units.
Option B
C
The area of the cylinder’s base is πx2 square units.
Option C
D
The height of the cylinder is 2x units.
E
The height of the cylinder is 4x units.
13

An oblique cone has a radius of 5 units and a height of 9 units.

Question illustration
A
117.8 cubic units
B
141.3 cubic units
C
235.5 cubic units
D
282.6 cubic units
14

A regular hexagon is shown.

Question illustration
A
4 in.
B
5 in.
C
9 in.
D
11 in.
16

Which statements about the octagon are true? Select two options.

A
The length of segment YZ is 15.3 cm.
B
The measure of the angle formed by the radius and the apothem is 30°.
C
The length of segment XY can be found by solving for a in 202 – 7.652 = a2.
D
The length of segment WZ is 20 cm.
E
The measure of the central angle, ∠ZXW, is 45°.
17

An oblique square prism is shown.

Question illustration
A
x(x – 2) cubic units
B
x(x +1) cubic units
C
x2(x – 2) cubic units
D
x2(x +1) cubic units
18

An oblique cylinder has a radius of 10 units and slant length of 26 units.

Question illustration
A
2,400π cubic units
B
2,500π cubic units
C
2,600π cubic units
D
2,700π cubic units
19

To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws.

Question illustration
A
2 (18 + 4)
B
(18 + 4)
Option B
C
(18 + 4)
D
(18 - 4)

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