Question

find the surface area of this cylinder. use 3.14 for π. 5 cm 6 cm surface area of a cylinder la = 2πrh sa = la + 2b sa = ? cm²

Explanation:

Answer:

First, find the lateral surface area (LA) using \( LA = 2\pi rh \), where \( r = 5 \) cm and \( h = 6 \) cm, and \( \pi = 3.14 \).
\( LA = 2 \times 3.14 \times 5 \times 6 = 188.4 \) \( \text{cm}^2 \).

Then, find the area of one base (S) using \( S = \pi r^2 \).
\( S = 3.14 \times 5^2 = 3.14 \times 25 = 78.5 \) \( \text{cm}^2 \).

Now, find the total surface area (SA) using \( SA = LA + 2S \).
\( SA = 188.4 + 2 \times 78.5 = 188.4 + 157 = 345.4 \) \( \text{cm}^2 \).

So the surface area of the cylinder is \( 345.4 \) \( \text{cm}^2 \).