A cylinder has a height of 15 feet and a radius of 4 feet. Solve for the total surface area of the cylinder. Use 3.14 for π and round to the nearest tenth.
a. 301.44 feet^2
b. 56.52 feet^2
c. 60 feet^2
d. 477.3 feet2
The total surface area of a cylinder is given by the formula:
SA = 2πr^2 + 2πrh
where r is the radius and h is the height.
Plugging in the given values:
SA = 2 * 3.14 * 4^2 + 2 * 3.14 * 4 * 15
SA = 2 * 3.14 * 16 + 2 * 3.14 * 4 * 15
SA = 100.48 + 376.8
SA = 477.28
Rounded to the nearest tenth, the total surface area of the cylinder is 477.3 feet^2.
The correct answer is d. 477.3 feet^2.