Final answer:
To find the lateral surface area of a cylinder, calculate the circumference of the base and multiply it by the height. The closest measurement of the cylinder's lateral surface area is 553 cm², which is closest to option B) 552.9 cm².
Step-by-step explanation:
To find the lateral surface area of a cylinder, we need to calculate the circumference of the base and multiply it by the height of the cylinder. The circumference of the base can be found using the formula C = 2πr, where r is the radius. In this case, the radius is 11 cm / 2 = 5.5 cm. The circumference is then C = 2 × 3.142 × 5.5 cm = 34.622 cm. The lateral surface area is then given by A = C × h = 34.622 cm × 16 cm = 553.952 cm². Rounded to the nearest whole number, the closest measurement of the cylinder's lateral surface area is 553 cm², which is closest to option B) 552.9 cm².