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#1 2009-01-14 22:44:15
- MoyMarian
- Member
- Registered: 2009-01-10
- Posts: 29
solid mensuration V
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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#2 2009-01-15 02:02:27
- Identity
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- Registered: 2007-04-18
- Posts: 934
Re: solid mensuration V
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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