Four trucks were used to make deliveries. The drivers recorded the number of miles driven and the amount of gasoline used. Truck
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The biggest possible volume of the cylinder will be .
- 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.
- 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 .
To know more about volume, refer: brainly.com/question/1972490
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