The B option is the correct answer
Answer:
the answer is 4pi or 12.56637061
Step-by-step explanation:
the arc length equals 2pi x radius ( known angle (120) / 360 which equals 4pi or 12.56637061
Answer:
7536 ![km^3/sec](https://tex.z-dn.net/?f=km%5E3%2Fsec)
Step-by-step explanation:
Given that:
Rate of decreasing of radius = 12 km/sec
Height of cylinder is fixed at = 2.5 km
Radius of cylinder = 40 km
To find:
The rate of change of Volume of the cylinder?
Solution:
First of all, let us have a look at the formula for volume of a cylinder.
![Volume = \pi r^2h](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cpi%20r%5E2h)
Where
is the radius and
is the height of cylinder.
As per question statement:
= 40 km (variable)
= 2.5 (constant)
![\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cdfrac%7Bd%7D%7Bdt%7D%5Cpi%20r%5E2h)
As
are constant:
![\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%20h%5Cdfrac%7Bd%7D%7Bdt%7D%20r%5E2%5C%5C%5CRightarrow%20%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cpi%20h%5Ctimes%202%20r%5Cdfrac%7Bdr%7D%7Bdt%7D%20%5C%5C%24Putting%20the%20values%3A%24%5C%5C%5CRigghtarrow%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%203.14%20%5Ctimes%202.5%5Ctimes%202%20%5Ctimes%2040%5Ctimes%2012%20%5C%5C%5CRigghtarrow%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%207536%5C%20km%5E3%2Fsec)
Answer:
Step-by-step explanation:
產品 1 14 20 13
產品 2 15 11 18
產品 3 12 15 16
Us would be the answer to this question