Question
If the height of a right circular cone is increased by 200 % and the radius of the base is reduced by 50% , then the volume of the cone :
Answer: Option B
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Let the original radius and height of the cone be r and h respectively .
Then , original volume = `1/3 pi r^2 h`
New radius = ``r/2` and new height = 3 h
New volume = `1/3 xx pi xx (r/2)^2 xx 3h = 3/4 xx 1/3 pi r^2 h`
`:.` Decrease % = ` ((1/4 xx 1/3 pi r^2 h)/(1/3 pi r^2 h) xx 100)`% = 25%
Decrease % = 25%.
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