Question

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

Explanation:

Step1: Calculate area of two bases

The formula for the area of a circle is $A = \pi r^{2}$. The radius $r = 2$ cm. The area of two bases is $2\times\pi r^{2}=2\times3.14\times2^{2}=2\times3.14\times4 = 25.12$ $cm^{2}$.

Step2: Calculate lateral - surface area

The formula for the lateral - surface area of a cylinder is $A_{l}=2\pi rh$. Here, $r = 2$ cm and $h = 7$ cm. So $A_{l}=2\times3.14\times2\times7=87.92$ $cm^{2}$.

Step3: Calculate total surface area

The total surface area $SA$ of a cylinder is the sum of the area of the two bases and the lateral - surface area. So $SA=25.12 + 87.92=113.04$ $cm^{2}$.

Answer:

$113.04$