To determine who is correct, we need to understand the parameters for calculating the surface area of a cone, which typically requires both the radius of the base, the height, and the slant height.
The surface area \(A\) of a cone is calculated using the formula:
\[ A = \pi r (r + l) \]
Where:
- \(r\) is the radius of the base,
- \(l\) is the slant height.
While the height of the cone is also important, it is not directly used in the surface area formula unless you are converting it to find the slant height or radius.
Given the information provided, without knowing whether 8 in. or 9 in. refers to the radius, height, or slant height, we cannot definitively say who is correct without that context.
However, if we assume Miles' measurement of 9 in. refers to the slant height and Claire's measurement of 8 in. refers to the height, then Miles would be correct about needing the 9 in. measurement for calculating the surface area, specifically using it as the slant height.
Therefore, assuming that context is correct, the best option would be:
"Miles is correct because 9 in. is the slant height of the cone."
If we had more information about the context of the measurements, we could provide a more definitive answer.
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