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nekit [7.7K]
3 years ago
6

Question 5 (1 point) What is the mean of this set of data: 78, 79, 80, 80, 89, 89, 92, 93, 94, 95, 95, 95 Round your answer to t

he nearest tenth.
88.3
89.4
92.1
88.6​
Mathematics
1 answer:
Len [333]3 years ago
7 0
88.3

add all the numbers, you get 1,059 and divide that by how many numbers there are which is 12 and you get 88.3
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The biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

<h3>What will be the diameter and height of the cylinder obtained from a cube and what are the formulas for the diagonal of a cube and the volume of a cylinder?</h3>
  • If a cylinder with the biggest possible volume is cut inside the cube, the height of the cylinder and the diameter of the cylinder will be equal to the side length of the cube.
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Now, given that the diagonal of the cube is 24 cm. So, if the side length of the cube is x cm, then we must have

x\sqrt{3}=24\\\Longrightarrow x=\frac{24}{\sqrt{3}}\\\Longrightarrow x=8\sqrt{3}

Thus, the side length of the cube is 8\sqrt{3} cm.

So, the height of the cylinder with maximum volume will be h=8\sqrt{3} cm and the diameter will be d=8\sqrt{3}cm i.e. the radius will be r=\frac{d}{2}=\frac{8\sqrt{3}}{2}=4\sqrt{3} cm.

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Therefore, the biggest possible volume of the cylinder will be 2089.497\hspace{1mm}\text{cm}^3.

To know more about volume, refer: brainly.com/question/1972490

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