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 result:

V1 =  0.1852 l
V2 =  4.8148 l

Solution:

V=5 l dm3=5 1  dm3=5 dm3  V=13 S h  h1=13h S1=132S=19S  V1=13 S1 h1=13 19S 13h  V1=V 133=5 133=527=0.1852 l
V2=VV1=50.1852=13027=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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