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Question
can you answer each question and type the correct code? please remember to type in all caps with no spaces. puzzle #2 answer choices a: 28.3 b: 8.5 c: 22.7 d: 108.2 e: 75.6 f: 207.3 g: 18.8 h: 268.3 i: 226.2 round to the nearest tenth type the 4 - letter code into the answer box. all caps, no spaces. whats the area of the cylinders base, in ft²? can you find the cylinders surface area, in ft²? whats the cylinders volume, in ft³? whats the circumference of the cylinder, in ft? ae
Step1: Calculate the area of the base
The formula for the area of a circle (base of the cylinder) is \(A = \pi r^{2}\). Given \(r = 3\) ft, \(A=\pi\times3^{2}=9\pi\approx 28.3\) \(ft^{2}\) (matches option A).
Step2: Calculate the surface area of the cylinder
The formula for the surface area of a cylinder is \(S = 2\pi r(r + h)\). Substitute \(r = 3\) ft and \(h = 8\) ft: \(S=2\pi\times3\times(3 + 8)=6\pi\times11 = 66\pi\approx207.3\) \(ft^{2}\) (matches option F).
Step3: Calculate the volume of the cylinder
The formula for the volume of a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 3\) ft and \(h = 8\) ft: \(V=\pi\times3^{2}\times8=72\pi\approx226.2\) \(ft^{3}\) (matches option I).
Step4: Calculate the circumference of the cylinder
The formula for the circumference of a circle is \(C = 2\pi r\). Substitute \(r = 3\) ft: \(C=2\pi\times3 = 6\pi\approx18.8\) ft (matches option G).
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