Saturday

August 30, 2014

August 30, 2014

Posted by **Abrich** on Saturday, November 24, 2012 at 12:02am.

- Calculus -
**Steve**, Saturday, November 24, 2012 at 12:32amDraw a figure, noting that the trapezoid has 30-cm wide triangles at each end.

When the water is y cm high, its surface is 20+2*30*(y/40) cm across the cross-section. That's 20 + 3y/2.

So, at depth y, the volume

v = (20 + 20+3y/2)/2 * y * 600

= 450y^2 + 12000y

dv/dt = 900y dy/dt + 12000 dy/dt

since .2 m^3 = 200000 cm^3

200000 = 900*25 dy/dt + 12000 dy/dt

dy/dt = 5.80 cm/min

**Related Questions**

Calculus Help Please!!! - A water trough is 5 m long and has a cross-section in ...

math - A water trough is 4 m long and its cross-section is an isosceles ...

calculus - A water-trough is 10m long and has a cross-section which is the shape...

maths - A large canal will have a cross-section in the shape of an isosceles ...

calculus - the cross section of a 5-ft long trough is an isosceles trapezoid ...

maths - the cross section of a canal is a trapezium in shape .if the canal is ...

Calculus - A trough is 5 meters long, 1 meters wide, and 4 meters deep. The ...

Calculus - A trough is 5 meters long, 1 meters wide, and 4 meters deep. The ...

calculus - 6. A trough is in the shape of a triangular prism. It is 5 feet long ...

DUE AT MIDNIGHT PLEASE HELP- Calculus - A trough is 5 meters long, 1 meters wide...