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).
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