MATH SOLVE

2 months ago

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

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