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Question
If the height and radius of a cone of volume V are doubled, then the volume of the cone, is
Options
3 V
4 V
6 V
8 V
Solution
The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as
Volume of cone = `1/3 pi r^2h`= V
Since it is given that the radius and height are doubled we have the radius as ‘2r’ and the vertical height as ‘2h’
So now,
Volume of modified cone =`1/3 pi(2r)^2 (2h)`
=`8/3pi r^2 h`
= 8V
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