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What is the ratio of the volume of the smaller cone to the whole cone when a solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base?
What is the ratio of the volume of the smaller cone to the whole cone when a solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base?
- 1:6
- 1:4
- 1:8 (correct)
- 1:2
If two cubes, each with a side length of 4 cm, are joined end to end, what is the surface area of the resulting cuboid?
If two cubes, each with a side length of 4 cm, are joined end to end, what is the surface area of the resulting cuboid?
- 56 cm²
- 40 cm²
- 48 cm² (correct)
- 64 cm²
What is the height of the resulting cuboid when a solid right circular cone is cut into two parts at the middle of its height?
What is the height of the resulting cuboid when a solid right circular cone is cut into two parts at the middle of its height?
- 2 cm
- 4 cm (correct)
- 5 cm
- 3 cm
If the length of the resulting cuboid is 8 cm and the breadth is 4 cm, what is its total surface area?
If the length of the resulting cuboid is 8 cm and the breadth is 4 cm, what is its total surface area?
What is the ratio of the radius of the small cone to its height when a solid right circular cone is cut into two parts at the middle?
What is the ratio of the radius of the small cone to its height when a solid right circular cone is cut into two parts at the middle?
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Study Notes
Solid Right Circular Cone Cutting
- When a solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base, the ratio of the volume of the smaller cone to the whole cone is 1:7.
- The height of the resulting cone is half of the original height.
Cuboid Formation
- When two cubes, each with a side length of 4 cm, are joined end to end, a cuboid is formed.
- The length of the resulting cuboid is 8 cm and the breadth is 4 cm.
- The total surface area of the cuboid is 96 cm².
Ratio of Radius to Height
- When a solid right circular cone is cut into two parts at the middle of its height, the ratio of the radius of the small cone to its height is 1:1.
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