The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
![\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}](https://tex.z-dn.net/?f=%5Cmathbf%7BA%20%3D%20%5Cpi%20%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%5E2%20%2B%20%5Cfrac%7B0.946%7D%7B%28%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%29%7D%7D)
The given parameter is:
The volume of a cylinder is calculated as:
Make h the subject
The surface area (A) of a cylinder is:
Substitute
Differentiate
Set to 0
Rewrite as:
Multiply through by r^2
Solve for r
![\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7BV%7D%7B2%5Cpi%7D%7D%7D)
So, we have:
Hence, the relationship between the volume and the surface area is:
Read more about surface areas and volumes at:
brainly.com/question/3628550
Answer:
The answer is $8.00.
Step-by-step explanation:
First, you have to find how much for each app so you have to divide by 3 :
3 apps = $2.40
1 app = $2.40 ÷ 3
1 app = $0.80
Next, you have to multiply it by 10 :
1 app = $0.80
10 apps = $0.80 × 10
10 apps = $8.00
Answer:
6,010 mg
Step-by-step explanation:
1 gram = 1,000 milligrams that means
(6+.01)*1000=6,010mg
Answer:(6) (1/3)^2 (2/3)^4
(2)
Step-by-step explanation: Each arrangement has a probability (1/3)^2 (2/3)^4 so our final answer we multiply this probability by the number of possible arrangements
