What is the surface area of the cylinder in terms of it? The diagram is not drawn to scale.
7 in.
15 in.
(1 point)
• 210л in.2
•308л in.2
• 224т in.?
987 NA
To find the surface area of a cylinder, we need to calculate the areas of the two bases and the lateral surface area.
The formula for the area of a circle is A = πr^2, where r is the radius of the circle.
The bases of the cylinder are circles with a radius of 7 inches. Therefore, the area of each base is:
A = π(7^2) = 49π in^2
The lateral surface area of a cylinder is given by the formula L = 2πrh, where r is the radius and h is the height of the cylinder.
In this case, the height of the cylinder is given as 15 inches. Therefore, the lateral surface area is:
L = 2π(7)(15) = 210π in^2
The total surface area is the sum of the areas of the two bases and the lateral surface area:
Total surface area = 2(49π) + 210π = 98π + 210π = 308π in^2
Therefore, the surface area of the cylinder in terms of π is 308π in^2.
In terms of the answer choices, since π is not provided in any of them, the closest option is:
• 308л in.2