Question

A cone has a volume of 78π cm3. Every dimension is multiplied by a scale factor, and the new cone has a volume of 2,106π cm3. What is the scale factor?

Answer 1

3

Explanation:

The ratio of the larger volume to the smaller is ...

(2106π cm³)/(78π cm³) = 27 = 3³

Since the volume scale factor is the product of the (same) scale factors of the three dimensions, ete volume scale factor is the cube of the scale factor for each of the dimensions. That scale factor must be ∛27 = 3.

The scale factor multiplying each dimension is 3.