the height and the radius of base a cone are each increased..., Area & Volume, General Mathematics

Question:The height and the radius of the base of a cone are each increased by `100%`. The volume of the new cone becomes how many times of the volume of the original cone ?

A `8 times` 
B `6 times` 
C `4 times` 
D `3 times`

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+ AnswerA

+ ExplanationLet radius = r & height = h Then, volume`=1/3 π r^2 h.`

New radius`= 200/100 r = 2r` and new height 

`= 200/100 h = 2h.`

:. New volume 

`= 1/3 π xx (2r)^2 xx 2h`

`= 8 xx 1/3 π r^2 h`

`= 8 xx `(original volume)

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