Answer:
About 38
Step-by-step explanation:
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of te base is 36pi square cm (put 36 in the blank since th pi is alredy there)
The answer would be $24.55 per oz of gold alloy so rounded up would be $25
Answer:
520
Step-by-step explanation:
must be the answer..
Answer:
Alison wins against Kevin by 0.93 s
Step-by-step explanation:
Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration
, we have the following equation of motion
![s/4 = a_at_a^2/2](https://tex.z-dn.net/?f=s%2F4%20%3D%20a_at_a%5E2%2F2)
where s (m) is the total distance, ta = 3 s is the time
![s = 4a_a3^2/2 = 18a_a](https://tex.z-dn.net/?f=s%20%3D%204a_a3%5E2%2F2%20%3D%2018a_a)
![a_a = s/18](https://tex.z-dn.net/?f=a_a%20%3D%20s%2F18)
Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration
, we have the following equation of motion:
![s/3 = a_kt_k^2/2](https://tex.z-dn.net/?f=s%2F3%20%3D%20a_kt_k%5E2%2F2)
tk = 4 s is the time
![s = 3a_k4^2/2 = 24a_k](https://tex.z-dn.net/?f=s%20%3D%203a_k4%5E2%2F2%20%3D%2024a_k)
![a_k = s/24](https://tex.z-dn.net/?f=a_k%20%3D%20s%2F24)
Since
we can conclude that
, so Alison would win.
The time it takes for Alison to cover the entire track
![s = a_aT_a^2/2](https://tex.z-dn.net/?f=s%20%3D%20a_aT_a%5E2%2F2)
![T_a^2 = 2s/a_a = 2s/(s/18) = 36](https://tex.z-dn.net/?f=T_a%5E2%20%3D%202s%2Fa_a%20%3D%202s%2F%28s%2F18%29%20%3D%2036%20)
![T_a = \sqrt{36} = 6 s](https://tex.z-dn.net/?f=T_a%20%3D%20%5Csqrt%7B36%7D%20%3D%206%20s)
The time it takes for Kevin to cover the entire track
![s = a_kT_k^2/2](https://tex.z-dn.net/?f=s%20%3D%20a_kT_k%5E2%2F2)
![T_k^2 = 2s/a_k = 2s/(s/24) = 48](https://tex.z-dn.net/?f=T_k%5E2%20%3D%202s%2Fa_k%20%3D%202s%2F%28s%2F24%29%20%3D%2048%20)
![T_a = \sqrt{48} = 6.93 s](https://tex.z-dn.net/?f=T_a%20%3D%20%5Csqrt%7B48%7D%20%3D%206.93%20s)
So Alison wins against Kevin by 6.93 - 6 = 0.93 s