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:
3
Step-by-step explanation:
12÷4=3
Hope this will help you!
Answer:
y=-9/2x plus 4
Step-by-step explanation:
y=ax plus b
Use points from the task.
4=0x plus b
so b=4
-5=-2a plus 4
-2a = -9
a = -9/2
y=-9/2x plus 4
The equation of the newsletter function is C(x) = 75 + 0.25x and the function values are C(0) = 75, C(100) = 100, C(200) = 125 and C(300) = 150
<h3 /><h3>How to determine the newsletter function?</h3>
From the question, the given parameters are
Initial charge = $75.00
Rate per copy = $0.25 per copy
The equation of the newsletter function is then calculated as
Total = Initial charge + Rate per copy x Number of copies
Let x represents the number of copies
So, we have
Total = Initial charge + Rate per copy x x
This gives
C(x) = 75 + 0.25x
<h3>The function values for x = 0, 100, 200 and 300</h3>
When x = 0, we have
C(0) = 75 + 0.25 x 0 = 75
When x = 100, we have
C(100) = 75 + 0.25 x 100 = 100
When x = 200, we have
C(200) = 75 + 0.25 x 200 = 125
When x = 300, we have
C(300) = 75 + 0.25 x 300 = 150
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