The maximum radius of each ball is 3.33 cm.
<h3>What is a Cylinder?</h3>
A cylinder is a three-dimensional figure which is made of two parallel circular bases separated at a certain distance by a curved surface of the same radius as that of the bases.
A 20 cm nail perfectly fits the cylinder.
So the height of the cylinder = 20cm.
A sphere is a three-dimensional geometrical figure analogous to a circle. All the points of the sphere are at the same distance from the center.
If 3 spheres have to be fitted inside the cylinder,
The sum of the diameter of the spheres will be equal to the height of the cylinder.
The spherical balls are identical and so will have the same diameter
Let the maximum diameter of the sphere that can fit in the cylinder is d cm
Then,
d + d + d = 20
3d = 20
d = 20/3 = 6.67 cm
r = 3.33 cm
The maximum radius that the spheres can have to fit in the cylinder is 3.33 cm.
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Answer:
(-2,-1) is where u start
Step-by-step explanation:
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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A square matrix that is not invertible is called singular or degenerate.
Their speed of separation will be equal to the sum of their speeds because they are in opposite directions.
Speed of separation = 40 + 50 = 90 miles per hour
Time = distance / speed
Time = 405 / 90
Time = 4.5 hours
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