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pochemuha
3 years ago
8

How to calculate distance between two points in 3d space?

Mathematics
1 answer:
victus00 [196]3 years ago
7 0
For points plotted in a 3 dimensional space or coordinate, you would be given three values which would represent the x direction, the y direction and the z direction. Given two points plotted on a 3 dimensional coordinate, (x1, y1, z1) and (x2, y2, z2), like for points that are being plotted in a 2 dimensional coordinate the distance would be calculated as:

distance = √<span>((x2 - x1)</span>²<span> + (y2 - y1)</span>²<span> + (z2 - z1)</span>²<span>)
</span>
For instance, we have point (1,1,1)<span> and point </span><span>(2,2,2), the distance of these points would be 

</span>distance = √<span>( (2 - 1)</span>² <span>+ (2 - 1)</span>²<span> + (2 - 1)</span>² <span>)
</span>distance = 1.73 units
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Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumferenc
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The complete question is
Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. a) Find the volume of a tennis ball b) There are 3 tennis ball in the container Find the amount of space within the cylinder not taken up by the tennis balls. Round your answers to the nearest hundredth.

Part a) 

we know that
length of a circumference=2*pi*r----------> r=length/(2*pi)---> 8/(2*pi)
r=1.27 in------> radius of tennis ball

volume of a tennis ball is equals to the volume of a sphere
[volume of a sphere]=(4/3)*pi*r³----> (4/3)*pi*1.27³---> 8.58 in³

the answer Part a) is
the volume of a tennis ball is 8.58 in³

Part b)
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[volume of 3 tennis balls]=8.58*3-----> 25.74 in³

the amount of space within the cylinder not taken up by the tennis balls is
51.39-25.74-----> 25.65 in³

the answer Part b) is
25.65 in³


8 0
3 years ago
Hey can you please help me posted picture of question
dimulka [17.4K]
The linear parent function is y = x

it has a slope equal to 1 and passes through the origin. All the other linear functions are derived from this parent function.

So, the correct answer to this question is option B
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3 years ago
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