A manufacturer can save money by making a can that maximizes volume and minimizes the amount of metal used. for a can with radius r and height​ h, this goal is reached when 2 pi r cubed equals pi r squared h. answer parts a and b below. question content area bottom part 1 a. solve the equation for h. hequals 2 r ​(simplify your answer. type an exact​ answer, using pi as​ needed.) part 2 how is the height related to the radius for a can that meets the​ manufacturer's goal?
a. the height is equal to the radius to the power of enter your response here. ​(simplify your​ answer.)
b. the height is enter your response here units greater than the radius. ​(simplify your​ answer.)
c. the height is enter your response here times the radius. ​(simplify your​ answer.)
d. the height is equal to the radius.
e. none