RRB Paramedical Staff Nurse Model Paper 10

Question : 43 of 100

Marks: +1, -0

A Right circular cone is cut into three solid parts of volume

v_1,v_2,v_3

and whose two heights are parallel to its root base and the height is also divided into three equal parts, then

v_1:v_2:v_3

is:-

Solution:

Ratio of volume

{1}/{3} π r^{2} h: \;{1}/{3} π(2 r)^{2} × 2 h: \;{1}/{3} π(3 r)^{2} × 3 h

1: 8: 27

v_{1}=1

v_{2}=8-1=7

v_{3}=27-8=19

v_{1}: v_{2}: v_{3}=1: 7: 19

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