Question

find the lateral surface area of the cylinder. lsa =? cm² round to the nearest hundredth. use 3.14 for π

Explanation:

Step1: Recall the formula for lateral surface area (LSA) of a cylinder.

The formula for the lateral surface area of a cylinder is \( LSA = 2\pi rh \), where \( r \) is the radius and \( h \) is the height. From the diagram, the radius \( r = 2 \) cm and the height \( h = 7 \) cm. We use \( \pi = 3.14 \).

Step2: Substitute the values into the formula.

Substitute \( r = 2 \), \( h = 7 \), and \( \pi = 3.14 \) into the formula:
\( LSA = 2 \times 3.14 \times 2 \times 7 \)

Step3: Calculate the product.

First, calculate \( 2 \times 3.14 = 6.28 \). Then, \( 6.28 \times 2 = 12.56 \). Finally, \( 12.56 \times 7 = 87.92 \).

Answer:

\( 87.92 \)