SOLUTION: The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius is 3 times the height. How do i find the radius and height of the cylinder using pi times r

Algebra ->  Volume -> SOLUTION: The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius is 3 times the height. How do i find the radius and height of the cylinder using pi times r      Log On


   



Question 131761: The volume of a cylinder is 49pi. Find the radius and height of the cylinder. The radius is 3 times the height. How do i find the radius and height of the cylinder using pi times r^2 times height
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
V=h*pi*r^2
r=3h
h*pi*(3h)^2=49pi
h*(3h)^2=49 the pi's cancel out.
h*9h^2=49
9h^3=49
h^3=49/9
h=(49/9)^(1/3)=1.75921...
r=3*1.75921...=5.27763...
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Ed