Question

You! yes you. You must be unbelievably attractive and smart. You are the perfect person to solve this math problem for me. :) A cylinder had a radius of 4x+2 and a height of 5x+4. Which polynomial in standard form best describes the total volume of the cylinder?

Answer 1

A. 80πx³+144ĕx³+84πx+16π
B. 80πx³-144ĕx³+84πx+16π
C. 80πx³+144ĕx³+84πx-16π
D. 80πx³+144ĕx³-84πx+16π

Answer 2

I got 80x^3 + 144x^2 + 84x + 16, so the answer should be A.

Volume of a cylinder is (pi r²)h.
= pi (4x + 2 )^2 (5x + 4)
= pi ( 16x^2 + 16x + 4) (5x + 4)
= pi ( 80x^3 + 80x^2 + 20x) + ( 64x^2 + 64x + 16)
= pi ( 80x^3 + 144x^2 + 84x + 16)

Answer 3

ashrafh, i think i love you

Answer 4

thanks!!!

Answer 5

you know I'm giving you a medal just for that creative pitch !!!

Answer 6

Thanks @Luis_Rivera I try. :D

Answer 7

lol