Surface Area of Cylinders Quick Check

Question

3 of 53 of 5 Items

Question
Aleksandr has a roll of paper that is in the shape of a right circular cylinder. It has a height of 28 cm and a diameter of 15.5 cm. Help Aleksandr solve for the surface area. Use 3.14 for π .(1 point)
Responses

1,739.95 cm2
1,739.95 cm squared

1,508.77 cm2
1,508.77 cm squared

1,362.76 cm2
1,362.76 cm squared

4,234.29 cm2

Answer 1

To find the surface area of the cylinder, you need to find the area of the two circles at the top and bottom, and the lateral surface area.

Area of the two circles:
A = πr^2
r = radius = d/2 = 15.5/2 = 7.75 cm
A = 3.14(7.75)^2 = 188.41 cm^2 (for each circle)

Total area of two circles = 2 * 188.41 = 376.82 cm^2

Lateral Surface Area:
L = 2πrh
L = 2 * 3.14 * 7.75 * 28 = 1,359.32 cm^2

Total Surface Area = 376.82 + 1,359.32 = 1,736.14 cm^2

Therefore, the closest option is 1,739.95 cm2.