Volume of the bead = Volume of the sphere - volume of the cylindrical hole = 242.95 mm³.
<h3>What is the Volume of a Sphere and a Cylinder?</h3>
- Volume of a sphere = 4/3πr³
- Volume of a cylinder = πr²h
Volume of the bead = Volume of the sphere - volume of the cylindrical hole
= 4/3π(4³) - π(1²)(8)
= 268.08 - 25.13
Volume of the bead = 242.95 mm³
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Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!
Answer:
it would be in the 100eds place
Step-by-step explanation:
Answer: a) 59049, b) 15120, c) 126.
Step-by-step explanation:
Since we have given that
5 digit sequences from the integers 1,2,...9.
a) the digits can be the same.
Repetition is allowed.
So, Number of ways to form 5 digit sequences would be
![9\times 9\times 9\times 9\times 9\\\\=9^5\\\\=59049](https://tex.z-dn.net/?f=9%5Ctimes%209%5Ctimes%209%5Ctimes%209%5Ctimes%209%5C%5C%5C%5C%3D9%5E5%5C%5C%5C%5C%3D59049)
b) the digits cannot be the same and the order in which they appear matters.
Repetition is not allowed and order is maintained, so we will use "Permutation":
![^9P_5=15120](https://tex.z-dn.net/?f=%5E9P_5%3D15120)
c) the digits cannot be the same and the order in which they appear does not matter.
Repetition is not allowed and order is not maintained, so we will use "Combination":
![^9C_5=126](https://tex.z-dn.net/?f=%5E9C_5%3D126)
Hence, a) 59049, b) 15120, c) 126.
Vertical Angles, H & E, they are congruent
Consecutive interior Angles, F & E, are supplementary
Alternate Exterior angles, B & G, are congruent