If a length and diameter of a pencil are both multiplied by 10, then the volume is multiplied by ?
1 answer:
Answer:
1000
Explanation:
If we model the pencil as a cylinder:
V = π r² h
Or, in terms of diameter:
V = π/4 d² h
If we multiply d and h by 10:
V = π/4 (10 d)² (10 h)
V = 1000 (π/4 d² h)
The volume increases by a factor of 1000.
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