posted by .

Find the force on a hollow dome that is 1000 feet in diameter, that is a mile below the surface. HOw large can the dome be expanded and not surpass 600 billion pounds.

I know the height will be 500, and i think that the intergral is 5280 to 4780 int 64,000pih, I am not sure thoug. any help would be much appreciated.

  • Calculus -

    Is this in water on earth?
    Do you mean the buoyant force (the net force of water on the sphere)?
    If so, use Archimedes principle. The force up is equal to the weight of water displaced.
    = rho g (4/3) pi r^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calc 3

    The actual span of the base of the dome is 143 feet. 1) Use cylindrical coordinates to write the surface of the dome as a function of the distance from the center of the base; that is find z = f (r) . 2) Use your function to find the …
  2. physics

    A particle of mass m is released from rest at the top of a spherical dome of radius R. how far below the starting point will the particle leave the surface of the dome?
  3. Science: Physics

    A spherical metal dome of radius 15 cm is electrically charged. It has a positive charge of +2.5 μC distributed uniformly on its surface. a. Calculate the electric field strength on the surface of the dome. b. Explain how your …
  4. math

    the dome over a town hall has a parabolic shape. the dome measures 48 m across and rises 12m at the centre. A vertical column needs to be attached to the dome at a point that is 4m away from its rim. How tall is the dome at this point?
  5. maths

    A building is in the form of a cylinder surmounted by a hemispherical vaylted dome and contains 1144/21 m3 of air. If the internal diameter of the dome is equal to 4/5th of the total height above the floor, find the height of the building
  6. Math

    For a history project, Marcus built a replica of the Texas State Capitol building. His model has a scale factor of 1/100. If the height of the Capitol's dome is 310 feet, how high is the dome on Marcus' replica?
  7. physics

    The dome of a Van de Graaff generator has a diameter of 32.0 cm and is surrounded by dry air with a 'breakdown' electric field of 3.00 106 V/m. What is the maximum potential of the dome?
  8. Physics(IMPORTANT)

    A small object of mass m= 90 kg slides down a spherical dome of radius R=12 m without any friction. It starts off at the top (polar angle θ=0) at zero speed. Use g=10 m/s2. (See figure) (a) What is the magnitude of the force (in …
  9. algebra

    a hemisphere dome on top of a silo has a diameter of 40 feet, find the volume of the dome r=6cm v=4/3 times 3.14 times radius6cubed
  10. Geometry

    A glass dome covers a pool making an indoor Waterpark. If the height of the dome is 30 feet then what is the surface area of the glass dome?

More Similar Questions