Question

The volume of a cylinder is given by the formula v=pi r^2h, where r itls the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x+8) and height (2x+3). Which expression represents the volume of the can

Answer 1

All you need to do for this is to plug in the given values for the radius and the height to solve for volume. You won't actually get a number answer, because there are variables, but this is what the problem gives us, so that's what we'll use.

Volume= pi(r^2)(h)
V=pi((x+8)^2)(2x+3)
V=pi(x^2+16x+64)(2x+3)
V=pi(2x^3+3x^2+32x^2+48x+128x+132)
V=pi(2x^3+35x^2+176x+132)

Answer 2

Volume of the can = π(2x³+35x²+176x+192)

Explanation:

Volume of a cylinder, V = πr²h

Radius of cylinder, r = x + 8

Height of cylinder, h = 2 x + 3

Volume of the can,

`V=\pi* (x+8)^2* (2x+3)=\pi* (x^2+16x+64)* (2x+3)\\\\V=\pi* (2x^3+32x^2+128x+3x^2+48x+192)\\\\V=\pi(2x^3+35x^2+176x+192)`

Volume of the can = π(2x³+35x²+176x+192)