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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