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Directions: Read carefully and choose the best answer.
1. |
Given a right circular cone.
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a) What is the shape of a cross section parallel to the base of the cone? |
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b) What is the shape of a cross section perpendicular to the base of the cone? |
Choose:
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2. |
A right square pyramid sits atop a right circular cylinder as shown at the right. A sword will make a vertical slice through both figures starting at the vertex of the pyramid. Which of the following shapes represents the cross section? |
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3. |
The area of the base of a cone is 24 sq. cm. and its height is 16 cm. What is the area of a cross section parallel to the base and 4 cm. from the vertex?
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Choose:
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4. |
A hot water pipeline in Iceland is composed of sections of right circular cylinder pipe. When the pipe is cut perpendicular to its base, the cross section has a diameter of 90 cm.
a) What is the area of the cross section, to the nearest tenth of a square centimeter?
Choose:
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Note
1 square meter = 10,000 square centimeters |
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b) How many cubic meters of water can be contained in 35 meters of pipe?
Choose:
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5. |
Given a right circular cylinder with a radius of 8 inches and a height of 20 inches. Which of the following choices is NOT a possible cross section of this cylinder? |
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A right circular cylinder has a height of 30 units and a radius of 5 units.
a) Find the area of a cross section parallel to the base. Express answer to the nearest tenth of a square unit.
Choose:
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b) Find the area of a cross section through the center of the cylinder, perpendicular to the base.
Choose:
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7. |
A right circular cylinder is cut out of a right rectangular prism. The prism measures 6 in. by 5 inches by 15 inches. The radius of the cylinder is 2 inches. If the remaining solid is sliced parallel to its base,
a) what is the area of that cross section, to the nearest tenth of a square inch?
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b) what is the volume of the structure after the cut out, to the nearest tenth of a cubic inch?
Choose:
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8. |
A plane intersects a sphere. (The plane is not tangent to the sphere.) Which of the following statements is true regarding the cross section formed by the plane? |
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9. |
A hemisphere of radius 3.5 cm. is sliced vertically through its center.
What is the area of the cross section obtained by the slice, to the nearest tenth of a centimeter?
Choose:
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10. |
A sphere has a radius of 5 units. The sphere is sliced 3 units below its center. What is the area of the cross section obtained from this slice, to the nearest tenth of a square unit?
Choose:
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