Question

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)
Please help someone! >-<

Answer 1

8 tangerines are required

Step-by-step explanation:

        1.4 ounces of juice requires $7\text{ }in^{3}$ of tangerines. Tangerines have a diameter of $2\text{ }in$.

       We need to make a 7 ounce glass of juice. So by simple calculation, we can infer that we need $\frac{7}{1.4}\times 7=35\text{ }in^{3}$ of tangerines.

       $\text{Volume of tangerines required = (Number of tangerines)}\times \text{(Volume of each tangerine)}$

       Volume of each tangerine = $\frac{\pi d^{3}}{6}=\frac{\pi (2)^{3}}{6} =\frac{4\pi }{3}\text{ }in^{3}$

       Number of tangerines required = $\dfrac{\text{Volume of tangerines required}}{\text{Volume of each tangerine}}=\dfrac{35}{\frac{4\pi}{3}}=\dfrac{105}{4\pi}=8.355$

∴ We require 8 tangerines