To find the surface area of the cylinder, we need to calculate the sum of the areas of its two circular bases and its curved surface.
The area of each circular base can be found using the formula for the area of a circle: A = πr^2, where r is the radius. Plugging in the values, we get:
A_base = 3.14 * (7^2) = 3.14 * 49 = 153.86 square yards
The curved surface area of the cylinder can be found using the formula: A_curved_surface = 2πrh, where r is the radius and h is the height. Plugging in the values, we get:
A_curved_surface = 2 * 3.14 * 7 * 8 = 351.68 square yards
Finally, we add the areas of the two circular bases and the curved surface to find the total surface area:
Surface Area = A_base + A_base + A_curved_surface = 153.86 + 153.86 + 351.68 = 659.4 square yards
Rounding to two decimal places, the surface area of the cylinder is approximately 659.40 square yards. None of the given options match this answer exactly, but the closest option is 577.76 square yards.
witch one it right
Use the image to answer the question.
A cylinder is labeled with a height of 8 yards and a radius of 7 yards.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.
(1 point)
Responses
577.76 square yards
577.76 square yards
252.77 yards
252.77 yards
252.77 square yards
252.77 square yards
329.7 square yards
1 answer