Final answer:
The lateral area of the right circular cylinder with a radius of 5 feet and an altitude of 11 feet is 346 square feet, after rounding to the nearest whole number. None of the options provided (550, 330, 660, 385 square feet) correctly correspond to the calculated area.
Step-by-step explanation:
The lateral area of a right circular cylinder can be calculated using the formula for the lateral surface area, which is the circumference of the base times the altitude (height). The formula is given by L = 2πrh, where r is the radius and h is the height of the cylinder.
In this case, the radius (r) is 5 feet and the height (h) is 11 feet. Let's calculate the lateral area:
L = 2πrh
= 2π(5 feet)(11 feet)
= 2(3.14159)(5 feet)(11 feet)
= 110π feet²
When using 3.14159 for π, this gives us:
L = 110π feet²
= 110(3.14159) feet²
= 345.575 feet²
Since we should round to the nearest whole number for the area in this context and 0.575 is closer to 1 than to 0, we get:
L = 346 square feet