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.
To know more about Cylinder
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Answer:
Because the diagonals of a rectangle are congruent, the statement "segment SQ ≅ segment PR" is true.
Answer:
Arc Length = 68.7
Step-by-step explanation:
The formula that is used to find the arc length:
s = (θ/360) * 2πr
(You would get the value of θ, by subtracting 57 from 360)
(You would get r by dividing 26 by 2)
Now we can solve this;
s = (303/360) 2π(13)
s = 0.842 * 2π(13)
s = 0.842 * 0.283(13)
s = 68.7
Hope this helps!
Let x be the speed.
Maximum is 65 so x needs to be less than or equal to 65.
The minimum is 45, so x also has to be greater than or equal to 45
45 <= x => 65
Answer:
12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)
13) The graph shows that both angles are congruent so that means:
2x+8= x+22
2x= x+14
x=14
14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)
15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)
16) Angles ADC and FDE are vertical because they are opposite of each other
17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)
Hope this helps! ;)
