Question

Peter plays renaissance drums, which are cylindrical in shape, in military reenactments in his hometown. He just bought a new drum with the money he has saved from working. Peter’s new drum has a diameter of 13 inches and a height of 19 inches. What is the approximate surface area of Peter’s drum?(1 point)
Responses

1,306.90 in2
1,306.90 in squared

816.81 in2
816.81 in squared

1,041.44 in2
1,041.44 in squared

2,613.81 in2
2,613.81 in squared

Answer 1

Surface area of a closed cylinder: SA = 2πr^2 + 2πrh. Here r = 13/2 = 6.5 in, h = 19 in.

SA = 2π(6.5)^2 + 2π(6.5)(19) = 2π(42.25) + 2π(123.5) = 84.5π + 247π = 331.5π ≈ 1,041.44 in^2.

Answer: 1,041.44 in^2.