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

- 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 ...
- math-optimal diameterand height - A cylindrical oil-storage tank is to be ...
- math, physics - A 10 m high, 5 diameter cylindrical water tank has an inlet at ...
- geometry - A cylindrical tank is being constructed to hold 10,000 ft^3 of water...
- math - Lisa bought a tank for her hermit crab. The tank can hold 1,331 cubic ...
- College Math - a conical tank is 15 feet deep and has an open top whose radius ...

More Related Questions