Q:

There is 1.4 ounces of juice in 7 in3 of tangerines. If you have a sack of tangerines which each have a diameter of 2 inches, approximately how many tangerines do you need to make a 7 ounce glass of juice? (round to nearest whole number)

Accepted Solution

A:
The first thing you should do for this case is to know the volume of tangerines, which in this case is given by:
 V = (4/3) * (pi) * ((d / 2) ^ 3)
 The diameter of the tangerines is 2 inches
 V = (4/3) * (pi) * ((2/2) ^ 3) = 4.19 in ^ 3
 Then, you must know by a rule of three how much in^3 of tangerines you need to have 7oz of juice.
 1.4 ---> 7
 7 ---> x
 Clearing x we have:
 x = (7 / 1.4) * (7) = 35 in ^ 3
 It takes 35 in3 of tangerines to make 7 ounces of juice.
 Then, the number of tangerines will be:
 n = (35) / (4.19) = 8.35
 nearest whole number:
 n = 9
 answer
 you need 9 tangerines to make a 7 ounce glass of juice