1. Questions

physics

An irregularly shaped chunk of concrete has a hollow spherical cavity inside. The mass of the chunk is 32kg, and the volume enclosed by the outside surface of the chunk is 0.020m^3. What is the radius of the spherical cavity?

To solve this, you need to know the density of concrete without the hole. The internet gives a range of values, mostly from 2300 to 2500 kg/m^3. Call that density "rho".

If R is the radius of the spherical cavity inside,
[0.020 m^3 - (4/3)pi R^3]*(rho) = 32 kg
I suggest you use 2400 kg/m^3 for "rho" and solve for R.
48 - 32 = 16 = (4/3)pi*R^3*2400

  1. 👍
  2. 👎
  3. 👁
Cavin

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Two chunks of ice are sliding on a frictionless frozen pond. Chunk A, with mass mA=5.0kg, moves with initial velocity vA1=2.0m/s parallel to the x-axis. It collides with chunk B, which has a mass mB=3.0kg and is initially at rest.

  2. Math

    A company makes concrete bricks that are shaped like rectangular prisms. Each brick is 6 inches long, 3 inches wide, and 2 inches tall. How much concrete will they need to make 1800 bricks?

  3. Physical Science

    A 100-g chunk of 72 ∘C iron is dropped into a cavity in a very large block of ice at 0∘C. What is the mass of ice that melts. (The specific heat capacity of iron is 0.11 cal/g⋅∘C.).

  4. physics

    a simple pendulum of length 0.2m has bob of mass 5gm, it is pulled aside through an angle 60 degrees from the vertical. a spherical body of mass 2.5gm is placed at the lowest position of the bob. when the bob is released it

  1. Mathematics

    Two solid spherical balls with centres P and Q touch each other. The balls lie inside and in contact with a hemispherical bowl of center R. Given that PQ=13 cm, QR=16cm and PR=19cm, calculate the radii of the bowl and the two

  2. science

    Why does the first method for determining volume work only for a regularly shaped object? Will the second method for determining volume work for any object or just an irregularly shaped one? Why? Is one method of measurement more

  3. physics

    "A solid cylinder and a thin-walled hollow cylinder have the same mass and radius. They are rolling horizontally along the ground toward the bottom of an incline. They center of mass of each cylinder has the same translational

  4. Physics

    a metal ball of radius R is placed concentrically inside a hollow metal sphere of inner radius 2R & outer radius 3R. The ballis given a charge +2Q and the hollow sphere a total charge -Q. Calculate. electrostatic potential energy

  1. English

    In what form of poetry are the poems shaped to look like their subjects? A) limerick B) haiku C) concrete D) narrative I THINK D

  2. math

    New streetlights will be installed along a section of the highway. The posts for the streetlights will be 7.5 m tall and made of aluminum. The city can choose to buy the posts shaped like cylinders or the posts shaped like

  3. physics

    Each of the following objects has a radius of 0.180 m and a mass of 2.65 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 41.4 rad/s. Find the magnitude of the angular momentum

  4. Physics

    A hollow spherical shell with mass 2.45kg rolls without slipping down a slope that makes an angle of 30.0∘ with the horizontal. a.) find the magnitude of the acceleration of the center of mass of the spherical shell. b.) find

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