Question

Niko got the jumbo ice cream cone at the Dutchess County Fair. The amount of ice cream can be modeled using a cone whose height is 12 centimeters and radius of 4 centimeters. A hemisphere and then a full sphere of ice cream the same radius were loaded on top of the cone as shown. If there are 237 cubic centimeters in a cup and 320 calories per cup of ice cream, how many calories is this treat if the cookie cone itself has 85 calories?

Answer 1

85 over 320 of a cup

Answer 2

total volume of ice cream = 2/3 *pi *r^3 +  4/3 *pi *r^3=9 where r = 4

total volume of ice cream  = 401.92 cm ^3

calories in 237 cm ^ 3 of ice cream = 320

calories in 401.92 cm ^ 3 of ice cream = (320/237) * 401.92 = 542.67 calories

calories of cookie cone = 85

Total calorie of treat = 542.67 + 80 = 627.6767 calories