Posted by Jake on Tuesday, November 22, 2011 at 5:13pm.
The time needed to empty a vertical cylindrical tank varies directly as the square root of the height of the tank and the square of its radius. By what factor will the emptying time change if the height is doubled and the radius increased by 25%?

Math  Henry, Thursday, November 24, 2011 at 2:32pm
t1 = r^2sqrt(h),
t2 = (r+1.25r)^2*sqrt(2h),
t2 = (2.25r)^2*sqrt(2h),
t2 = 5.0625r^2*1.414sqrt(h),
t2 = 7.16r^2*2qrt(h),
t2/t1 = 7.16r^2*sqrt(h) / r^2*2qrt(h) =
7.16.
The emptying time is increased by a factor of 7.16.
Answer This Question
Related Questions
 CALCULUS  Water is draining from a small cylindrical tank into a larger one ...
 Calculus  Water is draining from a small cylindrical tank into a larger one ...
 math  A tank, with a rectangular base and having vertical sides of height 4 m, ...
 math  A 500litre water storage tank is situated at the top of a building at a ...
 Algebra  a cylindrical water tank has a volume of 20π cubic feet . the ...
 mathoptimal diameterand height  A cylindrical oilstorage tank is to be ...
 math  An open cylindrical tank has an internal diameter of 5.6 cm and an ...
 Math  Calculus 2  An underground tank full of water has the following shape: ...
 math  how much work does it take to pump water from a full upright tank ...
 geometry  A cylindrical tank is being constructed to hold 10,000 ft^3 of water...
More Related Questions