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a water tank in the form of an inverted right circular cone is 6m high and its base radius is 2m. A similar tank is constructed whose volume is twice as large. What should be the dimensions of the larger tank?
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The formula for the volume of a cone is
If the similar tank has the same ratio of dimensions, then we know
, soTherefore,
So when V is doubled, r is multiplied by the cube root of 2.
Therefore, the new tank will have a radius of
and a height ofOffline
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