The volume of a cylinder is given by the formula v=r2h,where r is the radius of the cylinder and h is the height suppose a cylinder can has radius (x+8) and height (2x+3).which expression represents the volume of the can

Respuesta :

Answer:

[tex]v = 2x^3+35x^2+176x+192[/tex]

Step-by-step explanation:

You're going to want to start off a problem like this by plugging in all of the info given into the equation, like so:

[tex]v = (x+8)^2*(2x+3)[/tex]

Then work your way through simplifying it:

(square x+8)

[tex]v = (x^2+16x+64)*(2x+3)[/tex]

Multiply, and there's your answer!

[tex]v = 2x^3+35x^2+176x+192[/tex]