Question

A cylinder has a radius of 6x + 4 and a height of 8x + 7. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula 𝑉 = 𝜋𝑟^2h for the volume of a cylinder.
a. 288𝜋𝑥^3 + 636𝜋𝑥^2 + 464𝜋𝑥 + 112𝜋
b. 288𝜋𝑥^3 − 636𝜋𝑥^2 + 464𝜋𝑥 + 112𝜋
c. 288𝜋𝑥^3 + 636𝜋𝑥^2 + 464𝜋𝑥 + 112
d. 288𝜋𝑥^3 + 636𝜋𝑥^2 − 464𝜋𝑥 + 112𝜋

Answer 1

given that V =pi r^2 h
r = 2x + 3
h = 6x + 1


v = pi ( 2x + 3 )^2 ( 6x + 1 )

V = pi ( 4x^2 + 12x + 9 ) ( 6x + 1 )

V = pi ( 24x^3 + 4x^2 + 72x^2 + 12x + 54x + 9 )

V = pi ( 24x^3 + 76x^2 + 66x + 9 )

V = 24pix^3 + 76pix^2 + 66pix + 9pi

Answer 2

its b