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shusha [124]
3 years ago
7

A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t

he cylinder? Use the formula V = r²h for the colume of a cylinder.. . A) 80x³ + 144x² + 84x + 16. B) 80x³ – 144x² + 84x + 16. C) 80x³ + 144x² + 84x – 16. D) 80x³ + 144x² – 84x + 16
Mathematics
2 answers:
adoni [48]3 years ago
6 0
V =  r^2*h 
<span>V = (4x+2)^2*(5x+4) </span>
<span>V = (16x^2 +16x +4)*(5x+4) </span>
<span>V = (80x^3 +80x^2 +20x + 64x^2 +64x +16) </span>
<span>V = 80x^3 + 144x^2 + 84x +16</span>
Olenka [21]3 years ago
3 0
Area of the base = pi*(4x+2)^2 = pi*(16x^2 +16x +4)

volume of cylinder = pi*r^2 *h 

V = pi *(16x^2 +16x +4)(5x+4) = pi*(80x^3 +80x^2 +20x +64x^2 +64x +16) = 

= pi*(80x^3 +144x^2 +84x +16)

than we consider it without pi so result choice A. is right sure 

hope helped 
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