5 is your answer 4 divided by 20 is 5
<h3>Given:</h3>
- Hemisphere ×2 or sphere
- Cylinder
<h3>Solution:</h3><h3>Volume of the sphere:</h3>
![v = \frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Cpi%20%7Br%7D%5E%7B3%7D%20)
![v = \frac{4}{3} \times \pi \times {2}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20)
![v = 33.51 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%2033.51%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<h3>Volume of the cylinder:</h3>
![v = \pi {r}^{2} h](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
![v = \pi \times {2}^{2} \times 6](https://tex.z-dn.net/?f=v%20%3D%20%5Cpi%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20%20%5Ctimes%206)
![v = 75.40 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%2075.40%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<h3>Total volume:</h3>
![v = 75.40 + 33.51](https://tex.z-dn.net/?f=v%20%3D%2075.40%20%2B%2033.51)
![v = 108.91 \: {m}^{3}](https://tex.z-dn.net/?f=v%20%3D%20108.91%20%5C%3A%20%20%7Bm%7D%5E%7B3%7D%20)
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>compound</u><u> </u><u>shape</u><u> </u><u>is</u><u> </u><u>108.91</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>
the answer is 869. hope you pass!
Part A: f ( t ) = t² + 12 t - 19 =
= ( t² + 12 t + 36 ) - 36 - 18 = ( t + 6 )² - 54 ( the vertex form )
Part B : The vertex : ( - 6, - 54 ). This is the minimum, because the parabola is open up ( a > 0 ).
Part C : The axis of symmetry: t = - 6