What is the total surface area of a cylinder with radius x + 2 and height x + 4? Write your answer as a polynomial in standard form.
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TSA= 2π(x+2)(x +4) +2π(x+2) 2
4πx2+20πx +24π
4π(x2+5x +6)
Ans: 4π(x2+5x +6)
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Answer:
Total surface area = 2×pi×r×(r+h)
= 2×pi×(x+2)×(x+2+x+4)
= 2×pi×(2x^2+10x+12)
= 4×pi×x^2 + 20×pi×x + 24×pi
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