Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
5/16 i think
Step-by-step explanation:
Answer:
18/20π
Step-by-step explanation:
81π ÷ 1 = 81π
81π ÷2 = 18/20π
You do this because the radius is half of the diameter and you need to get rid of the hight by dividing it from the volume.
Answer: 0.6
Step-by-step explanation:
Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)
250 = 2(3W -35 + W) ↔ 125 = 4W - 35
4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft