30 points 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. include units in your answer.

dV = ±8π in³

Step-by-step explanation:

You're given the height, radius, and change in radius (the radius error, dr).

You're asked to find the change in volume (error of the volume, dV).

First write down the equation for the volume of a cylinder.

Derive the volume with respect to the radius (dV/dr) so that you can solve for their changes.

Rearrange the equation to solve for dV.

Plug in your given values.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet