SOLUTION: the lateral area of a cylinder is four times the area of its base. What is the height of the cylinder in terms of its radius

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Question 1201760: the lateral area of a cylinder is four times the area of its base. What is the height of the cylinder in terms of its radius
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
r, radius of base, same as radius of cylinder

pi%2Ar%5E2, base area

If h is height of cylinder, description gives 2pi%2Ar%2Ah=4pi%2Ar%5E2, and you can solve for h.


Further Review:
2pi%2Ar, the distance around the cylinder
h, the length of the cylinder
2pi%2Ar%2Ah, the lateral area of the cylinder.

You were given that this lateral area is 4%2Api%2Ar%5E2.
Also according to description, 2pi%2Ar%2Ah=4%2Api%2Ar%5E2.
SOLVE FOR h. That is the answer to the question! Do this correctly, and the result will match one of your choices.

2pi%2Ar%2Ah=4pi%2Ar%5E2
%281%2F%282pi%2Ar%29%292pi%2Ar%2Ah=%281%2F%282pi%2Ar%29%294pi%2Ar%5E2
%281%2F%282pi%2Ar%29%292pi%2Ar%2Ah=%281%2F%282pi%2Ar%29%292%2A2pi%2Ar%5E2

You understand how this works?