SOLUTION: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?

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Question 1158742: The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?

Answer by Edwin McCravy(20054) About Me  (Show Source):
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The height of a right circular cylinder is 1.5 times the radius of the base.
What is the ratio of the total surface area to the lateral (curved) surface area
of the cylinder?
S=2%2Api%2Ar%2Ah  <-- lateral (curved) surface area
The height of a right circular cylinder is 1.5 times the radius of the base.
So h = 1.5r and therefore

S=2%2Api%2Ar%2A%281.5r%29

S=3%2Api%2Ar%5E2  <-- lateral (curved) surface area
What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?
Total surface area =
What is the ratio of the total surface area to the lateral (curved) surface area of the cylinder?


Edwin