Answer:
Step-by-step explanation:
Actually it's 11 because 11 is technically the same when added to constant of x =6 = 11
You sure that’s the radius and not diameter? But if it is, the volume would be 70,276.2 cm
Using Euler's Formula, the number of faces is given by: 8.
<h3>What does Euler's Formula states?</h3>
It states that the number of vertices, edges and faces is related by the following equation:
V - E + F = 2.
In this problem, the parameters are given as follows:
E = 15, V = 9.
Hence the number of faces is given by:
V - E + F = 2.
9 - 15 + F = 2
F - 6 = 2
F = 8.
More can be learned about Euler's Formula at brainly.com/question/12943884
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Answer:
what are the following?
Step-by-step explanation:
The biggest possible volume of the cylinder will be 
.
<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.
- For example, consider the following figure in which the cylinder is cut inside of the cube and since the side length of the cube is
, the diameter and the height of the cylinder are also - If the side length of a cube is unit, then its diagonal will be
unit. - The formula for the volume of a cylinder is
, where 
is the radius and 
is the height of the cylinder. If 
is the diameter, then 
.
Now, given that the diagonal of the cube is 
cm. So, if the side length of the cube is cm, then we must have
Thus, the side length of the cube is 
cm.
So, the height of the cylinder with maximum volume will be 
cm and the diameter will be 
cm i.e. the radius will be 
cm.
So, using the above formula for the volume of a cylinder, we get
.
Therefore, the biggest possible volume of the cylinder will be .
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