Answer:
![a)\ V=3053.628059 \ ft^3](https://tex.z-dn.net/?f=a%29%5C%20V%3D3053.628059%20%5C%20ft%5E3)
![b)\ V'=1017.876\ ft^3/day](https://tex.z-dn.net/?f=b%29%5C%20V%27%3D1017.876%5C%20ft%5E3%2Fday)
Explanation:
<u>Rate of Change</u>
The volume of a cone of radius r and height h is given by
![\displaystyle V=\frac{\pi r^2h}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B%5Cpi%20r%5E2h%7D%7B3%7D)
The height is said to be 1/2 of the radius, thus
![\displaystyle V=\frac{\pi r^2\cdot r}{2\cdot 3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B%5Cpi%20r%5E2%5Ccdot%20r%7D%7B2%5Ccdot%203%7D)
![\displaystyle V=\frac{\pi r^3}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B%5Cpi%20r%5E3%7D%7B6%7D)
a) Knowing r=18 feet, the volume is
![\displaystyle V=\frac{\pi 18^3}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B%5Cpi%2018%5E3%7D%7B6%7D)
![V=3053.628059 \ ft^3](https://tex.z-dn.net/?f=V%3D3053.628059%20%5C%20ft%5E3)
b) The rate of change of the volume is computed by taking the derivative of both sides respect to the time
![\displaystyle V'=3\frac{\pi r^2}{6}r'](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%27%3D3%5Cfrac%7B%5Cpi%20r%5E2%7D%7B6%7Dr%27)
![\displaystyle V'=\frac{\pi r^2}{2}r'](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%27%3D%5Cfrac%7B%5Cpi%20r%5E2%7D%7B2%7Dr%27)
Where r' is the given rate of change of the radius: 2 feet/day.
Now we compute
![\displaystyle V'=\frac{\pi 18^2}{2}\cdot 2=1017.876](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%27%3D%5Cfrac%7B%5Cpi%2018%5E2%7D%7B2%7D%5Ccdot%202%3D1017.876)
![\boxed{V'=1017.876\ ft^3/day}](https://tex.z-dn.net/?f=%5Cboxed%7BV%27%3D1017.876%5C%20ft%5E3%2Fday%7D)
Answer:
Concept: Physics analysis
- We have a distance vs time graph
- That indicates that we are analyzing the distance traveled by either a person or a particle
- The runner starts at 4 meters and over the interval of a second runs to 12 meters reaching the 16 meter mark. The runner stood at 16 meter mark for one full second and then runs back 10 meter over the course of one second reaching 6 meter. The runner runs forward again for a second traveling 6 meters, ending at the 12 meter mark.
Answer:
Explanation:
3. The word circuit means "go around", therefore a circuit is a pathway or closed path around which electricity (or water) flows.
4. Electrons flowing through a wire can be compared to water flowing through a hose. Once the flow of electrons or water is going, work, is performed.
5. You would get shocked in a bumper car by touching the floor and the ceiling at the same time. This means you are completing the circuit allowing electricity to flow.
6. Electricity from a wall outlet has enough energy to stop your
heart.
7. Electricity is the flow of electrons, because electrons move or jump from atom to atom.
8. Materials that allow electrons to move easily from atom to atom are called conductors.
9. Materials that do not allow electrons to flow easily are called insulators.
10. Semi- conductors are materials that are somewhere in between
.
11. Voltage is the force or pressure of electricity and is compared to the amount of water pressure in a hose.
12. Current (amps
) is the amount of electricity and is compared to the amount of water in a hose
.
13. Watts (power) is the term for work performed by electricity.
It will not be carried to children ... because genetic defect can be carried to children, not the defect during his lifetime
Answer: clay
Explanation:
Florida is mainly influences by Spanish culture, so building with clay and wood would make sense, knowing that that is how pueblas are built.