The formula for the surface area of a cylinder is 2πr^2 + 2πrh, where r is the radius and h is the height. To find the radius, we need to divide the length by 2 since the length is equal to the diameter of the base. Thus, r = 11/2 = 5.5 inches.
Plugging in the values, we get:
Surface area = 2π(5.5)^2 + 2π(5.5)(13)
Surface area = 2π(30.25) + 2π(71.5)
Surface area = 60.5π + 143π
Surface area = 203.5π
To the nearest whole number, this is approximately 640 in.^2.
Therefore, the closest answer choice is B. 898 in.^2.
5. Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to scale.
Height: 13 in. Length: 11 in.
A. 1,659 in.^2
B. 898 in.^2
C. 5,862 in.^2
D. 2,959 in.^2
1 answer
1 answer