Question

You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3) a. Each customer uses 1 paper cup. The cups are sold in packages of 50. How many packages should you buy? b. How many cups will be left over if you sell 80% of the lemonade?

Answer 1

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Calculating the volume of cone cup:

$= \frac{1}{3}\pi r^2 h \\\\ = \frac{1}{3}\times 3.14 \times 4^2 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 16 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 176 \\\\ = 3.14 \times 58.66 \cong 184.31 cm^3$

$\to 10 \ gal \times 3,785\ \frac{cm^3}{gal} = 37,850\ cm^3\\\\\to 37,850 cm^3 \times \frac{(1 \ cone)}{(184.31 \ cm^3)} \times 205.4 \ cones$

When buying 5 packages (250 cones):

$\to 8 \ gal \times 3,785 \ \frac{cm^3}{gal} = 30,280\ cm^3 \\\\\to 30,280 \ cm^3 \times \frac{(1\ cone)}{(184.31 \ cm^3)} \cong \ 165 \ cones$

 Calculating the left over cones values:

$\to 250 - 165 = 85$