A hollow spherical iron shell floats almost completely when submerged in water. The outer diameter is 50.0cm, and the density of iron is 7.87g/cm^3. Find the inner diameter.

  1. 👍 0
  2. 👎 0
  3. 👁 551
  1. almost completely submerged in water.*

    1. 👍 0
    2. 👎 0
  2. volume of iron = (4/3) pi (25^3) -(4/3) pi(r^3)

    mass of iron = (4/3) pi(7.87) (15625-r^3)
    = mass of water displaced = (4/3)pi (15625)
    because density of water assumed 1 gram/cm^3
    Archimedes doing the lifting so
    7.87(15625-r^3) = 15625
    7.87 r^3 = 6.87 (15625)
    r = 23.9 cm
    D = 2 r = 47.8 cm

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Chemistry

    How many valence electrons does molybdenum have? (give only 1 answer) Go to this site and look for the electrons available in the outside shells. Click on element #42 and scroll down the menu on the left side until you come to

    asked by Al on April 1, 2007
  2. Physics

    A 4.0-kg cylinder of solid iron is supported by a string while submerged in water. What is the tension in the string? The density of iron is 7860 kg/m3 and that of water is 1000 kg/m3. A) 34 N B) 2.5 N C) 24 N D) 40 N E) 20 N

    asked by Anonymous on November 22, 2014
  3. physics

    A point charge of 2.4 μC is located at the center of a spherical shell of radius 17 cm, which has a charge −2.4 μC uniformly distributed on its surface. Given: ke = 8.98755 × 109 Nm2/C2 . a)Find the electric field for all

    asked by alex on September 19, 2011
  4. math

    A hollow cylindrical iron pipe is of length 35 cm . It's outer and inner diameters are 10cm and 8cm respectively . Find the weight of the pipe if 1 cube centimeter of iron weights 7 gram

    asked by anu on January 7, 2016
  5. Physics

    An uncharged spherical conducting shell surrounds a charge -q at the center of the shell. The charges on the inner and outer surfaces of the shell are respectively... a] -q,-q b]+q, +q c]-q, +q d]+q,0 e]+q, -q 2) A postive point

    asked by John on February 10, 2011
  1. maths

    A cylindrical tin 8cm in diameter contains water to a depth of 4cm. if a cylindrical wooden rod 4cm in diameter and 6cm long is placed in the tin it floats exactly half submerged. what is the New depth of water

    asked by Riliwan on November 22, 2016
  2. Physics

    A hollow plastic spherical bobber of mass 0.005 kg and volume of 50 cm3 floats on the surface of a lake supporting a submersed fishhook and a bait with a combined mass of 0.01 kg and a combined volume of 2 cm3. The density of

    asked by Ellen on March 24, 2010
  3. Physics

    A point charge is placed at the center of a net uncharged spherical conducting shell of inner radius 2.5 cm and outer radius 4.0 cm. As a result, the outer surface of the shell acquires a surface charge density σ = 71nC/cm2. Find

    asked by Kaleem on February 20, 2016
  4. physics

    a positive point charge q sits at the center of a hollow spherical shell. The shell, with radius R and negligible thickness, has net charge -2q. find an expression for the for the electric field strength (a) inside the sphere, rR.

    asked by jerry on September 16, 2009
  5. physics

    Two concentric conducting spherical shells produce a radially outward electric field of magnitude 49,000 N/C at a point 4.10 m from the center of the shells. The outer surface of the larger shell has a radius of 3.75 m. If the

    asked by zandile on August 7, 2013

You can view more similar questions or ask a new question.