The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. use linear approximation or differentials to determine the possible error in the volume of the cylinder.

±13 in³  

Step-by-step explanation:

V =πr²h

Take differentials of each side.

dV = πrhdr

ΔV = πrhΔr

Data:

  r =   4 in

 h = 10 in

Δr = 0.1 in

Calculation

ΔV = πrhΔr = π × 4 in × 10 in × 0.1 in = 4π in³ ≈ 13 in³

The possible error in the volume of the cylinder is ±13 in³

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

597

step-by-step explanation: