Based on the given parameters about old cone, the height of the new cone is 12 inches
<h3>Equivalent ratio</h3>
Old cone:
- Radius, r = 2 inches
- Height, h = 6 inches
New cone:
- Radius, r = 4 inches
- Height, h = h
equate ratio of radius to height in old and new cone
2 : 6 = 4 : h
2/6 = 4/h
cross product
2 × h = 6 × 4
2h = 24
h = 24/2
h = 12 inches
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We know that the number's opposite is 5. In this context, the opposite means the negative of the given number. Since the number's opposite is 5, the number itself must be -5. This is consistent with the second piece of information, since the absolute value of a number is its distance to 0 and the absolute value of -5 is 5.
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