Question

what is the surface area of this cylinder? round your answer to the nearest hundredth. cylinder image with diameter 28 m and height 13 m square meters submit

Explanation:

Step1: Identify given values

Radius $r = 28$ m, height $h = 13$ m

Step2: Recall surface area formula

Total surface area of a cylinder: $SA = 2\pi r^2 + 2\pi r h$

Step3: Calculate area of two bases

$2\pi r^2 = 2\pi (28)^2 = 2\pi \times 784 = 1568\pi$

Step4: Calculate lateral surface area

$2\pi r h = 2\pi \times 28 \times 13 = 728\pi$

Step5: Sum the two areas

$SA = 1568\pi + 728\pi = 2296\pi$

Step6: Compute decimal value

$2296\pi \approx 2296 \times 3.14159265 \approx 7213.19$

Answer:

7213.19 square meters