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 didnt even think of the geometrical way, thanks.

## Answer This Question

## Related Questions

- science - what happen to the depth of the pond when a stone covered with ice is ...
- physics,plz.....give me answer as soon as possible - a pond of water filled with...
- physics - a pond of water filled with water apto 60m. 1)write formulato find the...
- Geometry (check my work) - A scoop of ice cream shape like a sphere with a ...
- physics - a)a box having mass of 500kg is placed on a horizontal surface.find ...
- physics - There's a magic ring in a sealed paint can at the bottom of a frozen ...
- Math - an ice cream cone contains one spherical scoop of ice cream,the diameter ...
- physics - An outdoor circular fish pond has a diameter of 4.00 m and a uniform ...
- Geometry - I'm not asking for the answer (I hate when people do that) I'd just ...
- math - An ice cream shop is changing the size of their ice cream cone. The ...

More Related Questions