Answer:
312Ï€ square inches
Step-by-step explanation:
The surface area of a cylinder is the area of both its bases and its lateral area added together.
The area of a circle is pi times the radius squared. The radius in this case would be 6, half of the 12 inch diameter. 6 squared is 36, making one base 36Ï€ inches squared. Multiply that by two to get the area of both bases; 73Ï€ inches squared.
The lateral area of a cylinder is the circumference of the base multiplied by the height of the cylinder. Circumference being pi times the diameter, it would be equal to 12Ï€. Multiply that by the height to get 240Ï€.
Then add the two values together to get 312Ï€, the final answer.
