5.1 - Introduction to Circles Answers

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The diameter of the base of the cone measures 8 units. The height measures 6 units.

Question illustration
A
24π cubic units
B
32π cubic units
C
48π cubic units
D
64π cubic units
25

The large sphere has a diameter of 12 feet.

Question illustration
A
252π ft3
B
261π ft3
C
288π ft3
D
324π ft3
26

A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.

Question illustration
A
(52)(13) – (52)(12)
Option A
B
(52)(13) – (52)(25)
Option B
C
(52)(13) + (52)(12)
Option C
D
(52)(13) + (52)(25)
Option D
27

A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square prism.

Question illustration
A
the prism because it has approximately 11.6 in.3 less wasted space than the cylinder.
B
the prism because it has approximately 14.1 in.3 less wasted space than the cylinder.
C
the cylinder because it has approximately 11.6 in.3 less wasted space than the prism.
D
the cylinder because it has approximately 14.1 in.3 less wasted space than the prism.
28

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Question illustration
A
14
B
15
C
16
D
17
29

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

A
y = a · πx
B
y = a + (πx)
C
y = a – πx
D
y = a ÷ (πx)
30

The diameter of the base of the cone measures 8 units. The height measures 6 units.

Question illustration
A
24π cubic units
B
32π cubic units
C
48π cubic units
D
64π cubic units
31

WXYZ is a trapezoid with WX ≅ YZ.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
32

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.

A
h = (– b)÷ r
Option A
B
h = – b ÷ r
Option B
C
h = ÷ r – b
Option C
D
h = ÷ r
Option D
33

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
34

ABCD is a square.

Question illustration
A
30°
B
45°
C
60°
D
90°
35

The volume of an object is equal to the ratio of its mass to density, V = . The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter.What is the radius of the grape? Round to the nearest tenth of a centimeter.

Question illustration
A
1.0 cm
B
1.5 cm
C
1.9 cm
D
2.1 cm
36

A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units.

Question illustration
A
11.1 units3
B
14.8 units3
C
22.2 units3
D
44.4 units3
37

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units.

Question illustration
A
units2
Option A
B
units2
Option B
C
units2
Option C
D
units2
Option D
38

The formula to convert °F to °C is C = (F – 32).Convert 50°C to °F.

Question illustration
A
10°F
B
20°F
C
122°F
D
132°F
39

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

A
3 cm
B
4 cm
C
6 cm
D
7 cm
40

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

Question illustration
A
48o
B
56o
C
93o
D
101o

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