# What is the total surface area of a cylinder with a base radius of 3 and a height of 5?

Let us calculate the total surface area of the cylinder if the base radius 3 and the height 5 are known.

The total surface area of a cylinder consists of two base areas and a lateral surface area.

Let’s find the area of the base.

S main = n * R 2.

We substitute data into the formula.

S main = 3.14 * 3 2 = 3.14 * 9 = 28, 26.

The lateral surface area is equal to.

S side = 2 p * R * H.

S side = 2 * 3.14 * 3 * 5 = 94.2.

And let’s calculate the total surface area.

S floor = S side + 2 * S main

S floor = 94, 2 + 2 * 28, 26 = 94.2 + 56, 52.

S floor = 150, 72.

Answer: S floor = 150, 72.

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