Question

Suppose Cone A is similar to Cone B and the scale factor between the solids is 3:2, respectively. If the height of Cone A is 15 inches, determine the height of Cone B. 20 inches

15 inches
10 inches
5 inches

Answer 1

`10\ inches`

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let

x----> the height of cone B

using proportion

`(3)/(2)=(15)/(x) \\ \\x=2*15/3\\ \\x=10\ in`