2(4x2)+2(1/2 4x3.5)+(4x2)
2(8)+2(1/2 14)+8
16+ 2(7)+8
16+14+8
38 sq. ft.
The hemisphere is half the volume of a sphere. Since we are given the circumference, we can solve for the radius of the sphere. That is
![r=\frac{116}{2\pi }=18.462\:cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B116%7D%7B2%5Cpi%20%7D%3D18.462%5C%3Acm)
Part A
We can now compute for the volume of the hemisphere.
![V=\frac{1}{2}\times \frac{4}{3}\pi r^3=\frac{1}{2}\times \frac{4}{3}\pi \left(18.462\right)^3=13179\:cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%5Cleft%2818.462%5Cright%29%5E3%3D13179%5C%3Acm%5E3)
Part B
We just need to convert the volume into its corresponding gallons
Answer:
A: 3,600
Step-by-step explanation:
Hopefully this helps!
I’d have to say rate of change.