# A right circular cone is cut parallel to base in 3 parts each having a

| A right circular cone is cut parallel to base in 3 parts each having a height of h meter. Find volume ratio of each part.

A. 1:6:7

B. 2:5:17

C. 1:7:19

D. 1:9:17

### Right Answer is: C

#### SOLUTION

We have cut the cone in three parts parallel to the base: upper part having volume , middle part having volume and lower part having volume V_{3}

_{}

We know that, if two cones are similar then the ratio of their volumes will be equal to the cube of the ratio of their corresponding heights.

V_{1}=k

V_{1}+V_{2}=8k

V_{2}= 7k

V_{1}+V_{2}+V_{3}=27k

⇒ V_{3} = 19k

So: V_{1} : V_{2} : V_{3}= k:7k:19k =1:7:19

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A right circular cone is cut parallel to base in 3 parts each having a