5.1 - Introduction to Circles Answers

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The large sphere has a diameter of 12 feet.

Question illustration
A
252π ft3
B
261π ft3
C
288π ft3
D
324π ft3
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A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°.

Question illustration
A
5 ft3
B
9 ft3
C
14 ft3
D
19 ft3
43

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.

Question illustration
A
144π mm3
B
168π mm3
C
312π mm3
D
456π mm3
44

An oblique cylinder is shown.

Question illustration
A
120π
B
130π
C
300π
D
325π
45

Rhombus LMNO is shown with its diagonals.

Question illustration
A
34°
B
45°
C
56°
D
68°
46

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A
10.6 cm
B
14.0 cm
C
15.0 cm
D
19.8 cm
47

A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units.

Question illustration
A
320π cubic units
B
597π cubic units
C
640π cubic units
D
725π cubic units
48

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

A
0.2 inches
B
4.5 inches
C
46.1 inches
D
414.7 inches

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