The vase company designs a new vase that is shaped like a cylinder on bottom and a cone on top. The catalog states that the width is 12 cm and the total height is 42 cm. What would the height of the cylinder part have to be in order for the total volume to be 1224pi cm cubed?

Answer 1

volume=PI*(diameter/2)^2 *h + pi(diamter/2)^2 (1/3)(42-h)

solve for h.