The formula for the volume of a right cylinder is V = (pi)r^2h. Find the rate of change of the volume when r = 2 inches if dr/dt = 1/8 in./min and h = 5r. Show all your work.

The volume is increasing at a rate of 15π/2 squared inches per minute.

Step-by-step explanation:

The formula for the volume of a right cylinder is:

We want to find dV/dt when r = 2, dr/dt = 1/8 in/min, and h = 5r.

Since h = 5r:

Differentiate both sides with respect to t:

Since r = 2 and dr/dt = 1/8:

So, the volume is increasing at a rate of 15π/2 squared inches per minute.

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)