Height and radius of the first cone are 1.5 m and 3 m respectively. Radius and height of the second cone are 27 m and 3 m respectively. What is the ratio of volume of the first cone to the volume of the second cone?

**(A)** 1:27

**(B)** 1:9

**(C)** 1:18

**(D)** 1:36

**(E)** None of the above

We can note that radius of the second cone is 3 times the radius of the first cone.

We can also note that height of the second cone is 2 times the height of the first cone.

Let radius of the first cone

Let radius of the second cone

Let height of the first cone

Let height of the second cone

Volume of the first cone

Volume of the second cone

Ratio of volume of the first cone to the volume of the second cone

Hence, the answer is **(C)**.