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?

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be .

We will use lateral surface area of pyramid to solve our given problem.

, where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

Now we will find the total surface area of cylinder.

Therefore, the ratio of total surface area to lateral surface area is .

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step-by-step explanation: