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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

Respuesta :

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


[tex] V = \pi (x+8)^2(2x+3) [/tex]


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


[tex] V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192) [/tex]