Question

In: Physics

(Experiment) Measure all the dimension of the four objects and fill out the table below. As...

  1. (Experiment)

Measure all the dimension of the four objects and fill out the table below. As the ‘proof’ that you did the experiments, take a screenshot of your PC screen for at least one dimension of each and insert (copy and paste) the screenshots to the end of this data sheet. (For Window’s users, ‘snipping tool’ is convenient to take a screenshot. You can search the tool by searching ‘snipping tool’ on Windows Search. For Mac users, press ‘Command’ + ‘Shift’ + ‘3’ to capture a screenshot). Also, calculate the volume of each object using the following formulas. The volume of the sphere of dimeter reads

Eq. 1

the volume of the block of length , breadth as and thickness

Eq. 2

the volume of the cylinder of dimeter and height

, Eq. 3

and the volume of the beaker of internal diameter and the internal height (depth)

Eq.4

Objects

   Dimensions

Volume

Sphere

Diameter [cm]

Block

Length

[cm]

Breadth

[cm]

Thickness

[cm]

Cylinder

Diameter

[cm]

Height

[cm]

Beaker

Diameter

[cm]

Height

[cm]

Solutions

Expert Solution

Volume of the Sphere:

Volume of sphere is given by:

Where is the radius of the sphere.

That means volume of the sphere is only depends on its radius.

Taking radius , then the corresponding volume of sphere:

Volume of the block:

Volume of the block is given by:

That means the volume of block depends on length, width and height.

Taking length , width , and height , then the corresponding volume of the block:

Volume of the cylinder:

Volume of the cylinder is given by:

Where is the radius of the cylinder base and is the height of the cylinder.

That means the volume of the cylinder depends on its radius and height.

Taking radius and height , then corresponding volume of the cylinder:

Volume of the Beaker:

Since beaker is a cylinder its volume beaker given by:

Where is the radius of the cylinder base and is the height of the beaker.

That means the volume of the beaker depends on its radius and height.

Taking radius and height , then corresponding volume of the beaker:


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