SOLUTION: A cylinder has a radius of 4in. If the volume of the cylinder is 48 pi inches cubed, what is the height?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: A cylinder has a radius of 4in. If the volume of the cylinder is 48 pi inches cubed, what is the height?      Log On


   

Question 73389: A cylinder has a radius of 4in. If the volume of the cylinder is 48 pi inches cubed, what is the height?
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
+V+=+48pi+ .... +r+=+4+
Substitute it into the Volume formula.

V+=+pi%28r%5E2h%29+
+48pi+=+pi%284%5E2%29h+
Cancel the pi on both sides
+48+=+%284%5E2%29h+
Work your exponents
+48+=+16h+
divide both sides by 16
+3+=+h+