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question 14 of 21 two similar cones have radii of 6 and 1, respectively…

Question

question 14 of 21
two similar cones have radii of 6 and 1, respectively. what is the ratio of their volumes?
a. 36:1
b. 216:1
c. 113.01:1
d. 18.85:1

Explanation:

Step1: Find scale factor

Scale factor $k = \frac{6}{1} = 6$

Step2: Relate scale to volume ratio

For similar solids, volume ratio is $k^3$.
$k^3 = 6^3 = 216$

Answer:

B. 216:1