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19 Geometry Questions 1. Which one...

19 Geometry Questions

1. Which one of the following statements is true for a circle inscribed in a regular polygon?

A. The sides of the polygon are chords of the circle

B. The area of the circle is equal to the area of the polygon

C. The ertices of the polygon are on the circumference of the circle

D. The sides of the polygon are tangents of the circle

2. If an area in the form of a circle is to be roped off by a rope 10m long, what will be the radius of this area?

3. What is the approximate area of a segment of a circle with a radius 12m if the length of the chord is 20m?

4. What is the area of an ellipse with the major axis 20m and the minor axis 10m?

5. A part of a circle bounded by an arc and a chord is a?

6. What is the area of a sector of a circle which has a diameter of 10in. if the length of the arc is 10in.?

7. How many square feet of cardboard are needed to construct a covered box with a length of 4ft, a width of 3ft, and a height of 6ft?

8. How many cubic inches of material are needed for a solid rubber ball with a diameter of 3in.?

9. The figure formed by the intersection of a solid with a plane parallel to the base of the solid is congruent to the bas if the solid is a?

10. What is the lateral area of a right circular cone if the diameter of the base is 4m and the slant height of the cone is 15m?

11. Find the volume of a frustum of a right pyramid whose lower base is a square with a side 5in., whose upper base is a square with a side 3in., and whose altitude is 12in.

12. What is the volume of a right pyramid whose base is a square with a side 6m long and whose altitude is equal to the base side?

13. A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?

14. What is the total area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius?

15. What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?

16. What is the surface area of a cylindrical ring, or torus, if its outside diameter is 16mm and its inside diameter is 10mm?

17. A hexagonal right prism has a volume of 500 cu in. If the base is a regular hexagon with a side 4in., what is the altitude of the prism?

18. How many square feet of paper are needed to cover a cube with a side 10in long?

19. A cylindrical container has a base area of 100m^2 and is 12m high. If the container is one-thrid filled with water, what is the volume of the water in the container?

1. Which one of the following statements is true for a circle inscribed in a regular polygon?

A. The sides of the polygon are chords of the circle

B. The area of the circle is equal to the area of the polygon

C. The ertices of the polygon are on the circumference of the circle

D. The sides of the polygon are tangents of the circle

2. If an area in the form of a circle is to be roped off by a rope 10m long, what will be the radius of this area?

3. What is the approximate area of a segment of a circle with a radius 12m if the length of the chord is 20m?

4. What is the area of an ellipse with the major axis 20m and the minor axis 10m?

5. A part of a circle bounded by an arc and a chord is a?

6. What is the area of a sector of a circle which has a diameter of 10in. if the length of the arc is 10in.?

7. How many square feet of cardboard are needed to construct a covered box with a length of 4ft, a width of 3ft, and a height of 6ft?

8. How many cubic inches of material are needed for a solid rubber ball with a diameter of 3in.?

9. The figure formed by the intersection of a solid with a plane parallel to the base of the solid is congruent to the bas if the solid is a?

10. What is the lateral area of a right circular cone if the diameter of the base is 4m and the slant height of the cone is 15m?

11. Find the volume of a frustum of a right pyramid whose lower base is a square with a side 5in., whose upper base is a square with a side 3in., and whose altitude is 12in.

12. What is the volume of a right pyramid whose base is a square with a side 6m long and whose altitude is equal to the base side?

13. A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?

14. What is the total area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius?

15. What is the ratio of the volumes of a sphere and a cone with the base diameter and the altitude of the cone equal to the diameter of the sphere?

16. What is the surface area of a cylindrical ring, or torus, if its outside diameter is 16mm and its inside diameter is 10mm?

17. A hexagonal right prism has a volume of 500 cu in. If the base is a regular hexagon with a side 4in., what is the altitude of the prism?

18. How many square feet of paper are needed to cover a cube with a side 10in long?

19. A cylindrical container has a base area of 100m^2 and is 12m high. If the container is one-thrid filled with water, what is the volume of the water in the container?

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