The volume of a cylinder, v(h), is given by the area of the base times the height, h. the base of the cylinder shown below has a diameter of 5 inches.
part a: write the function, v(h), that represents the volume of the cylinder

part b: find v(3) and tell what it represents

Part a)

Part b)  (see the explanation)

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

where

B is the area of the base of cylinder

h is the height of the cylinder

we have that

Part a) Write the function, V(h), that represents the volume of the cylinder

we have

----> the radius is half the diameter

substitute

The volume is

Part b) Find V(3) and tell what it represents

V(3) represent the volume of the cylinder with a height of 3 inches

so

For h=3 in

substitute

bottom left

step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !

sine

step-by-step explanation: