SOLUTION: The diameter of the base of a cylinder measures 4, and the altitude measures 4. In cubic units what is the volume of the cylinder

Algebra ->  Bodies-in-space -> SOLUTION: The diameter of the base of a cylinder measures 4, and the altitude measures 4. In cubic units what is the volume of the cylinder       Log On


   

Question 148488: The diameter of the base of a cylinder measures 4, and the altitude measures 4. In cubic units what is the volume of the cylinder
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of cylinder=pi%28r%5E2%29h
This translates into the {area of the base} times the height.

Why? Well, think of a cylinder as a [stack of congruent circles]. The [amount of circles] is the height. Take the area of one circle, and times it by the [amount of circles] or the height of the [stack of congruent circles]. That gives you the volume of the whole [stack of congruent circles].

Anyway, so take pi%28r%5E2%29h and plug in your values. The diameter is 4, so r=2. The altitude, or height, is 4.

Plug all that stuff in and get pi%282%5E2%294. Simplify that and get pi%284%294. Then multiply 4 by 4 and get pi%2816%29. Otherwise known as 16pi.

So your volume would be 16picm%5E3