Right circular cone

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

Correct answer:

V1 =  0.1852 l
V2 =  4.8148 l

Step-by-step explanation:

V=5 l dm3=5 1  dm3=5 dm3  V=31 S h  h1=31h S1=321S=91S  V1=31 S1 h1=31 91S 31h  V1=V 331=5 331=275 l=0.1852 l
V2=VV1=50.1852=4.8148 l

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Showing 1 comment:
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


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