To find the length of a cone, we typically refer to the slant height of the cone. The dimensions you've given (6 cm, 2 cm, and 4 cm) may relate to the radius, height, and slant height, but it's unclear which values correspond to which dimensions.
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Assuming 6 cm is the height (h), 2 cm is the radius (r), and we can find the slant height (l) using the Pythagorean theorem: \[ l = \sqrt{r^2 + h^2} \] Substituting the values: \[ l = \sqrt{2^2 + 6^2} = \sqrt{4 + 36} = \sqrt{40} = 2\sqrt{10} \] This is approximately 6.32 cm.
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Assuming 6 cm is the radius (r) and 4 cm is the height (h): \[ l = \sqrt{r^2 + h^2} \] \[ l = \sqrt{6^2 + 4^2} = \sqrt{36 + 16} = \sqrt{52} = 2\sqrt{13} \] This is approximately 7.21 cm.
Please specify which dimension corresponds to the radius, height, or slant height if you require a more precise calculation.
1 answer