Answer:
292
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
It just means put 1 for x so -3-4=-7
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
