The cylinder has a volume of 12pi cubic inches and a diameter of 4 inches. Find the cylinders radius and height. The cylinders radius is inches and it’s height is inches.

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

               12π = π×2²×H

               12 = 4H

                H = 3 in

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.