SOLUTION: The height of the cylinder is three times the diameter of the base. The surface area of the cylinder is 126. What is the radius of the base

Question 751782: The height of the cylinder is three times the diameter of the base. The surface area of the cylinder is 126. What is the radius of the base
Found 2 solutions by josgarithmetic, tommyt3rd:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Say the diameter is d and the radius is .
Let h= height of the cylinder.

circumference is the LENGTH of the rounded side. This circumference is , or
circumference is

The surface area then is
and you were given in the description:
.
Solving for d is uncomplicated.
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
h=3d=3(2r)=6r

so that

:)
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