Question

A cylinder has a radius of 4x + 3 and a height of 3x + 6. Which polynomial in standard form best

describes the total volume of the cylinder? Use the formula V =pier^2h for the volume of a cylinder

Answer 1

Explanation:

R=4x+3

H=3x+6

Volume of a cylinder= Πr²h

inserting the parameters

v=π(4x+3)²(3x+6)

v=π(16x²+24x+9)(3x+6)

V=π[3x(16x²+24x+9) +6(16x²+24x+9)]

v=Π(48x³+72x²+27x+96x²+144x+54)

v=π(48x³+168x²+171x+54)m³