lanedavis1558 lanedavis1558
  • 25-01-2021
  • Mathematics
contestada

What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?

Respuesta :

batolisis
batolisis batolisis
  • 26-01-2021

Answer:

hello your question is incomplete attached below is the complete question

answer : -2400 π

Step-by-step explanation:

dr/dt = -12 km/s

h = 2.5 km

r = 40 km at some instant

hence the rate of change of Volume of cylinder at that instance

= dv / dt = [tex]d(\pi r^h ) / dt[/tex]  

              = [tex]\pi h\frac{d(r^2)}{dt}[/tex]  = [tex]-\pi h *2r *dr/dt[/tex]

hence ; dv / dt = -2400 π

Ver imagen batolisis
Answer Link

Otras preguntas

Ok for this one you have to solve for b and show work
What is the result of Hamlet's joking about death and worms? What connection do the worms and their diet have with Wittenberg?
To what extent did Islam constitute the world’s first global civilization?
Could 10.7 cm,3.2 cm,and 5.5 cm be the side lenghts of a triangle
What is 20/100 as a fraction
When different types of retailers are competing, it's called ___________ competition?
On july 9, coronado company sells goods on credit to wildhorse company for $4600, terms 2/10, n/60. coronado receives payment on july 18. the entry by coronado
one number is 6 less than 3times another number and their sum is 62. Find the numbers.
165% of 60 rounded to the nearest tenth of necessary
What are the domain and range of the relation {(–5, 5), (–3, 2), (0, 3), (3, 2)}?   A. Domain: {0, 2, 3, 5}; Range: {–5, –3}   B. Domain: {2, 3, 5}; Range