Question

The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a cylindrical can had radius (x+8) and height (2x+3). Which expression expression represents the value of the can

Answer 1

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes

`V = \pi (x+8)^2(2x+3)`

If you want, you can simplify it by expanding the square and then multiply the two parenthesis:

`V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)`