in Quantitative Aptitude recategorized by
743 views
2 votes
2 votes

Choose the best alternative:

A right circular cone of height h’ is cut by a plane parallel to the base and at a distance h/3 from the vertex, then the volumes of the resulting cone and frustum are in the ratio:

  1. 1 : 3
  2. 8 : 19
  3. 1 : 4
  4. 1 : 7

 

in Quantitative Aptitude recategorized by
7.9k points
743 views

1 Answer

0 votes
0 votes

The sum of volumes of respective parts and the original cone will be same . Hence we have :

         1/3 π r2 h   =    1/3 π (2r/3)2 (2h/3)   +    x

  ==>  x              =     1/3  π  r2 h ( 1 - 8 / 27)

  ==>  x              =     1/3  π  r2 h  *  (19 / 27) 

Hence volume of frustum   =   1/3  π  r2 h  *  (19 / 27) 

Volume of smaller cone      =   1/3  π  r2 h  *  (8 / 27)

Hence ratio of volume smaller cone to frustum of cone  =   8 : 19

1.5k points

Related questions

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true