The volume of a sphere is found with the following formula:
![V = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
The radius is raised to a power of 3. Since the radius is 2 <em>meters</em>, this means that the volume would be measured in
cubic meters.
The ways can the jazz band be selected so there are 2 trumpet players, 5 drummers, and 3 saxophonists is given below .
Step-by-step explanation:
Let's first do the math with only the trumpet,drummer and saxophonists player.
There are 4 Trumpet Player. There are 4 choices of trumpet players. Which means for each drummer, there are 4 groups of musicians:
T
1
D1S1
T
1
D2S2
and so on
So if there are 4 groups of musicians for each Trumpet ,12 drummer and there are 7 saxophonists , we get 12 groups.
It would be the product of
4T2, 12D5 and 7S3
That is 6*792*35=166,320
The tank can hold 31.8 gallons of water.
Answer:
x=2
Step-by-step explanation:
The diagram is attached below
TU=TW+WU
x+7=3+WU
WU=x+7-3
WU=x+4
To determine the value of x, we apply the theorem of intersecting chords.
TW X WU = CW X WV
![x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\$Divide both sides by x\\x=2](https://tex.z-dn.net/?f=x%28x%2B4%29%3D6%20%5Ctimes%20x%5C%5Cx%5E2%2B4x%3D6x%5C%5Cx%5E2%3D6x-4x%5C%5Cx%5E2%3D2x%5C%5C%24Divide%20both%20sides%20by%20x%5C%5Cx%3D2)