Posted by **ALan** on Monday, March 8, 2010 at 7:01pm.

A pond has the shape of an ice cream cone with the tip slices off and has a depth of 5.00m. The atmospheric pressure above the pond is 1.01 *10^5 Pa. The circular top surface (radius = R2) and circular bottum (radis = R1) of the pond are both parrallel to the ground. The angle between the ground and the side of the pond is 60 degrees. The magnitude of the force acting on the top surface is the same as the magnitude of the force acting on the bottum surface. Calculate R1 and R2.

Help please, I am currently manipulating formulas, but this seems extremely complicated, can someone show me the process to which they got the answer and I will compare it with my way. Thanks.

- Physics Tough question! -
**drwls**, Monday, March 8, 2010 at 7:16pm
You need to solve two simultaneous equations for R1 and R2.

The first is the geometrical relation:

R2 = R1 + 5/tan 60 = R1 + 2.89 m

The second is the physics relation:

pi*R2^2 * Po =

pi*R1^2 (Po + rho*g*depth)

Po = atmospheric pressure = 1.01*10^5 Pa

rho*g*depth = 0.49*10^5 Pa

R2^2/R1^2 = 1.50/1.01 = 1.49

R2/R1 = 1.22

Take it from there.

- Physics Tough question! -
**ALan**, Monday, March 8, 2010 at 9:37pm
o wow, i didn't even think of the geometrical way, thanks.

## Answer This Question

## Related Questions

- math - Tony would like yo build a circular pond with depth of 1.5 feet in her ...
- Physics - A pond with a flat bottom has a surface area of 820 m^2 and a depth of...
- physics - a)a box having mass of 500kg is placed on a horizontal surface.find ...
- Geometry (check my work) - A scoop of ice cream shape like a sphere with a ...
- maths - A circular pond has radius r. The area of a pond whose radius is 6m more...
- maths - the circular pond has radius r. the area of a pond whose radius is 6m ...
- physics - An outdoor circular fish pond has a diameter of 4.00 m and a uniform ...
- math - a circular pond has a diameter of 1.8m and a depth of 55cm. if we fill ...
- Physics Help - A circular pond of radius 12 m has a layer of ice 0.25 m thick. ...
- Physics - A circular pond of radius 12 m has a layer of ice 0.25 m thick. On a ...

More Related Questions