# Right circular cone

The volume of a right circular cone is 5 liters. The cone is divided by a plane parallel to the base, one-third down from the vertex to the base. Calculate the volume of these two parts of the cone.

## Correct answer:

**Showing 1 comment:**

**Dr Math**

1:3 is the ratio of heights

1:3

1:3

1:3

^{2}= 1:9 is the ratio of the area of base circles... due to two dimensional nature of the area.1:3

^{3}= 1:27 is the ratio of volumes... .. volume has three-dimensional natureTips for related online calculators

Check out our ratio calculator.

Tip: Our volume units converter will help you convert volume units.

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Tip: Our volume units converter will help you convert volume units.

See also our trigonometric triangle calculator.

### You need to know the following knowledge to solve this word math problem:

**geometry**- similarity of triangles
**arithmetic**- third power
**solid geometry**- similarity bodies
- cone
**planimetrics**- triangle
**basic functions**- ratio

### Units of physical quantities:

### Grade of the word problem:

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