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GREYUIT [131]
3 years ago
6

the radius of a cylindrical gift box is (4x+3) inches. The height of the gift box is three times the radius. what is the surface

area of the cylinder? Write your answer as a polynomial in standard form.
Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
We have that
surface area of the cylinder=2*[pi*r²]+[2*pi*r*h]
r=(4x+3)
h=3*r=3*(4x+3)
S=2*[pi*(4x+3)²]+[2*pi*(4x+3)*(3*(4x+3))]------> 2*[pi*(4x+3)²]+[6*pi*(4x+3)²]
S=8*pi*(4x+3)²----> 8*pi*[16x²+24x+9]-----> 402.12 x²+603.19x+226.19

the answer is  S=402.12 x²+603.19x+226.19   (8pi[16x²+24x+9])
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LUCKY_DIMON [66]

Answer:

A. g(x)= 1/3x²

Step-by-step explanation:

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<u>Let's check which of the answer choices is correct:</u>

  • A. g(x)= 1/3x²
  • g(3) = 1/3*3² = 3
  • g(3) = 3
  • This is correct

<u>B. g(x)= (1/3x)²</u>

  • g(3) = (1/3*3)² = 1
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  • Incorrect

<u>C. g(x) = 1/9*x²</u>

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<u>D. g(x)= 3x²</u>

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<u>Correct choice is</u> A. g(x)= 1/3x²

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