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A cone has:
- Faces: 2 (1 circular base and 1 curved surface)
- Edges: 1 (the edge around the base)
- Vertices: 1 (the apex)
So the answer is:
- Faces: 2
- Edges: 1
- Vertices: 1
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The radius of a cone with a diameter of 12 inches is: \[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{12 \text{ in}}{2} = 6 \text{ in} \]
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To find the length of the cone, we can use the Pythagorean theorem, but here you have provided the height and slant height, which suggests there's an inconsistency, as the slant height should be longer than the height. However, based on the provided data, we can calculate the proper slant height length assuming a right circular cone.
We can find the slant height \( (l) \) using: \[ l = \sqrt{r^2 + h^2} \] where \( r \) is the radius (2 cm) and \( h \) is the height (6 cm).
So, \[ l = \sqrt{(2 \text{ cm})^2 + (6 \text{ cm})^2} = \sqrt{4 + 36} = \sqrt{40} \approx 6.32 \text{ cm} \]
The length of the cone generally refers to the height or slant height depending on context. Clarification may be required.
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The radius of a cylinder with a diameter of 14 inches is: \[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{14 \text{ in}}{2} = 7 \text{ in} \]
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The height of the cylinder shown is given by the axis, which measures 5 centimeters. Thus, the height of the cylinder is: \[ \text{Height} = 5 \text{ cm} \]
If there are any further clarifications needed or additional questions, feel free to ask!