Answer:
dV/dt = 0,474552 in³/units of time
dV/dt = 0,47 in³/units of time
Step-by-step explanation:
Volume for the right circular cone:
V(c) = (1/3)*π*x²*h
Where x is radius of the circular base, and h the heigt
Differentiating on both sides of the equation, keeping in mind that h is constant, we get:
dV/dt = (1/3)*3,6*2*x*dx/dt (1)
Now when radius changes from 1,3 to 1,27 inches or 0,03 in in/units of time
dV/dt = (1/3)*3,6* 2*(1,3)²*dx/dt
units h in inches
radius in inches
dx/dt in inches/units of time
Then
dV/dt = 0,474552 in³/units of time
dV/dt = 0,47 in³/units of time
