The radius of a right circular cylinder is increasing at the rate of 3 ft/sec, while the height is decreasing at the rate of 6 ft/sec. at what rate is the volume of the cylinder changing when the radius is 15 ft and the height is 10 ft? remember to use the product rule when you find the expression for dv/dt. 30 ft3/sec −900 ft3/sec −450π ft3/sec −900π ft3/sec

Step-by-step explanation:

Let's assume

radius of cylinder as 'r'

height of cylinder as 'h'

so, we have

r=15ft

h=10ft

now, we can use volume of cylinder formula

we can find derivative with respect to t

now, we can plug values

now, we can simplify it

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

sup

step-by-step explanation: