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kherson [118]
2 years ago
14

If the diameter of the red marble is 3.0 cm, and by using the formula for volume, what is a good approximation of its volume? cm

3 Determine the initial volume of water in the graduated cylinder. If you added the red marble to the graduated cylinder and it sinks, what final volume should the water level indicate?
Physics
1 answer:
shtirl [24]2 years ago
3 0
The volume of sphere is calculated through the equation,

    V = 4πr³ / 3

Substituting the given radius of 1.5 cm (from the diameter of 3 cm),
   
   V = 4π(1.5 cm)³ / 3 = 9π / 2 cm³ or
    V = 14.14 cm³

(2) Since, we are not given with the initial volume of water, let us say that the volume is equal to 100 cm³, the addition of the marble with volume already calculated above will give a final volume of the water in the graduated cylinder become 114.14 cm³. This is the principle of water displacement. 
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Complete Question

The complete question is shown on the first uploaded image

Answer:

The components of reaction at the fixed support are  

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Explanation:

Looking at  the diagram uploaded we see that there are two  forces acting along the x-axis on the fixed support    

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Looking at  the diagram uploaded we see that there are two  forces acting along the y-axis on the fixed support  

   These force are  500 N  and  A_{(y)} [ i.e the force acting along the same direction with 500 N   ]

Hence the sum of forces along the x axis is mathematically represented as

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Looking at  the diagram uploaded we see that there are two  forces acting along the z-axis on the fixed support  

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Hence the sum of forces along the x axis is mathematically represented as

        A_{(z)}  - 600  = 0

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    \sum M_x  = M_x  - 500 (0.75 + 0.5) + 600 ( 1 ) = 0

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=>   M_y  = 750 \  N\cdot m

Generally taking moment about A along the z-axis we have that

    \sum M_z  = M_z = 0

=>   M_z  = 0 \  N\cdot m

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