Question

Consider the two similar cones. What is the height of the smaller cone?

A) 27 centimeters
B) 30 centimeters
C) 32 centimeters
D) 36 centimeters
E) 39 centimeters

Answer 1

The answer would be B

Answer 2

B

Explanation:

Since the cones are similar then the ratio of corresponding sides are equal, that is

`(12)/(18)` =
`(h)/(45)` ( h is the height of the smaller cone )

Cross- multiply

18h = 540 ( divide both sides by 18 )

h = 30 cm → B