SOLUTION: The volume and curved surface area a cylinder are 1650cm^3 and 660cm^2 respectively. Find the radius and height of the cylinder

Question 849775: The volume and curved surface area a cylinder are 1650cm^3 and 660cm^2 respectively. Find the radius and height of the cylinder
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The volume and curved surface area of a cylinder are 1650cm^3 and 660cm^2 respectively.
Find the radius and height of the cylinder.
:
let r = the radius
let h = the height
:
Volume: = 1650
Curved surface: = 660
make both equations = to h
h =
and
h = =
therefore
=
multiply both sides by and you have
330 =
r =
r = 5 cm is the radius
:
Find the height
h -
h -
h = 21.0 cm is the height
:
:
Check this by finding the volume with these values
V =
V = 1649.33, a slight error from rounding off

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