SOLUTION: The surface area of a cylinder is 200 cm^2. The diameter is equal to the height. Find the radius.

Question 433993: The surface area of a cylinder is 200 cm^2. The diameter is equal to the height. Find the radius.
Found 3 solutions by Alan3354, Gogonati, robertb:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Is that the lateral area? Or does it include the top and bottom?
Answer by Gogonati(855)   (Show Source): You can put this solution on YOUR website!
As we know the surface area of cylinder is , where D is the
diameter, and H is the height of cylinder, since H=D we can write:
, solving this equation we find and
the radius , , rationalizing we find,
.
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Unless it is specifically mentioned that it is lateral surface area, the surface area mentioned is TOTAL, and so

Hence ==>
==> cm
==> cm.
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