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?

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

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step-by-step explanation:

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497