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State true or false- If the area of the ...

State true or false- If the area of the base of a right circular cone be 3 times of its volume , then the height of it will 1 unit .

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Let the radius of the right circular cone be r unit and its height is h unit .
As per question `pi r^2=3xx(1)/(3) pi r^2hrArr h=1`.
`therefore` the height of the cone =1 unit .
Hence the given statement is true.
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