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 500-litre water storage tank is situated at the top of a building at a ...
- math - t varies directly as the square root of l. If l=81, then t=10 what is the...
- Algebra - a cylindrical water tank has a volume of 20π cubic feet . the ...
- math - An open cylindrical tank has an internal diameter of 5.6 cm and an ...
- Algebra - A tank is drained by two pipes.One pipe can empty the tank in ...
- math - how much work does it take to pump water from a full upright tank ...
- math-optimal diameterand height - A cylindrical oil-storage tank is to be ...

More Related Questions