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:
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Dr Math
1:3 is the ratio of heights
1:32 = 1:9 is the ratio of the area of base circles... due to two dimensional nature of the area.
1:33 = 1:27 is the ratio of volumes... .. volume has three-dimensional nature
1:32 = 1:9 is the ratio of the area of base circles... due to two dimensional nature of the area.
1:33 = 1:27 is the ratio of volumes... .. volume has three-dimensional nature
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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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