Please show work

Problem 7. (1 point) The surface area of a right-circular cone of radius r and height h is S = arrv r2 + hz, and its volume is V = %7rr2h. (a) Determine h and r for the cone with given surface area S = 7 and maximal volume V. h: i r: (b) What is the ratio h/r for a cone with given volume V = 3 and minimal surface area S? h I' (1:) Does a cone with given volume V and maximal surface area exist? A. yes B.no Note: You can earn partial credit on this