Grade 10 Mathematics chapter 6

Welcome to your Grade 10 Mathematics chapter 6

After carefully reading the following 30 questions, choose the correct answer.

1. 
What is the volume V of a circular cone with altitude h and base radius r?

2. 
A solid bounded by a closed surface where every point is equidistant from a fixed center is a:

3. 
What is the formula for the surface area SA of a sphere with radius r?

4. 
The volume V of a sphere with radius r is:

5. 
One of the two equal parts into which a sphere is divided by a great circle is a:

6. 
The part of a pyramid between the base and a cross-section formed by a plane parallel to the base is:

7. 
The lateral faces of a frustum of a pyramid are:

8. 
What is the lateral surface area (LSA) of a frustum of a regular pyramid with slant height l and base perimeters p and p′?

9. 
A cross-section formed by a plane passing through the center of a sphere is a:

10. 
The altitude of a frustum of a pyramid is the perpendicular distance between:

11. 
The volume of a pyramid is equal to ______ the product of its base area B and altitude h.

12. 
A regular tetrahedron has a base edge and lateral edges that are:

13. 
The slant height of a frustum of a regular pyramid is the altitude of:

14. 
A part of a cone between the base and the vertex cut by a plane parallel to the base is:

15. 
Total Surface Area (TSA) of a frustum is the sum of its lateral surface area and:

16. 
Every cross-section made by a plane passing through a sphere is a:

17. 
A line segment connecting the center of a sphere with any point on the sphere is the:

18. 
The diameter of a sphere is equal to ______ the radius.

19. 
The lateral faces of a frustum of a regular pyramid are congruent:

20. 
For a sphere of radius r, the formula V=4/3πr3 calculates its:

21. 
A plane that does NOT pass through the center of a sphere forms a:

22. 
If the altitude of a pyramid is h and base area is B, volume is V=1/3Bh. This applies to:

23. 
In a sphere, the center point is ______ from every point on the surface.

24. 
The bases of a frustum of a pyramid are:

25. 
What is the lateral surface of a frustum?

26. 
A right circular conical vessel has its vertex downwards. If water is poured in, the water level forms a:

27. 
A tetrahedron is a pyramid with a ______ base.

28. 
The radius of a sphere is 10 cm. Its surface area is:

29. 
A solid hemisphere consists of a curved surface and a ______ base.

30. 
If d is the diameter of a sphere, what is the surface area formula in terms of d?

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