Many batches of the recipe must Mike prepare to fill the punch bowl MATH HELP NEEDED?

Question

Mike is starting a catering business. He will be serving punch for an upcoming job. His punch recipe is in imperial units. It calls for 3 pints pineapple juice, 5 pints orange juice, and 4 pints cranberry juice. Mike has a large semi- sphere punch bowl, 70cm in diameter. How many batches of the recipe must Mike prepare to fill the punch bowl? 103 cm = 1 Litre

Answer 1

Volume of sphere = 4/3 pi r³.

r = 35, hemisphere = half the volume.

2/3 pi 35³ = 89 797.19 = 89.8 l (about 23.72 gallons)

3 + 4 + 5 = 12, so nearest multiple of 12 is

7.5 x 12 = 90 l

He should use

3 x 7.5 = 22.5 liters of pineapple

5 x 7.5 = 37.5 liters of orange

4 x 7.5 = 30 liters of cranberry

In pints, the total is 189.775 US pints.

Without doing fractions of a pint,

he can make 180 pints ( a little short )

or 192 pints ( a little too much )

For 180,

15 x 3 = 45 pints pineapple

15 x 5 = 75 pints orange

15 x 4 = 60 pints cranberry.

That would be 15x his recipe.