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I need help with my math course Task 2: Plan the refreshments. You have decided to make a fruit punch for the party. The proportion
I need help with my math course
Task 2: Plan the refreshments. You have decided to make a fruit punch for the party. The proportion for one recipe is 1 can of fruit punch concentrate: 1 can of berry punch concentrate : 4 cans of water : 2 cans of ginger ale. Each can has a capacity of 300 mL. 5" Thurk-z h-rk 1. Volume of Punch a. The guests are served punch in glasses that hold 250 mL. You must prepare for each guest to drink two glasses of punch. How much punch will you need for 20 people at the party? b. Determine how many recipes of fruit punch you will need for the party. Hint: You cannot use partial cans. Hint: Calculate the volume of fruit punch that one recipe makes first. c. Determine how many cans of uit and berry punch concentrate as well as cans of ginger ale you need. 2. Filling the punch bowl You will need to determine the number of times that the punch bowl will need to be lled during the party. The punch bowl you are using is a hemisphere (half-sphere) with a diameter of 35 cm. It can be lled to 85% capacity. a. Calculate the capacity of the punch bowl. Round your answer to two decimal places. 4 Hint: Vsphm = 3M3 b. Determine the volume of the punch in the how] if the how] can be lled to 85% capacity. Round your answer to the nearest em3. c. Using the volume you calculated in (b), how many times must you ll the punch bowl during the party? Hint: Convert your answer in (b) from cm3 into mL rst. Remember 1 em3 = 1 mL You have an ice cream cone shaped piata for a game during the party. Over your patio, you have found a branch from which to hang the pinata; it is 325 cm in the air. Now, you are trying to determine the length of string to hang the piata so that its bottom is 200 cm in the airjust above the heads of the partiers! You do not lcnow the total height of the piata, but you know how much candy is in the pinata as well as the radius of the piata. You have put 10 bags of mixed candies with a volume of 2000 cm3 each into the pinata, which lled it to 60% capacity. a. Determine the volume of candy in the piata. Remember that you have 10 bags of candy mix with 2000 cm3 of candy in each bag. 13. Using the volume that you calculated in (a), nd the capacity of the piata. Reund y0ur answer to the nearest whole number. volume 3: 100% capacity Hint: percent capacity = Find the capacity of the hemisphere section of the pinata. Round your answer to the nearest whole number. 4 SP,\" = 3 m3 and you are working with half of a sphere Hint: Find the capacity of the cone section of the piata. Reund yom' answer to the nearest whole number. Hint: The total capacity of the piata minus the capacity of the hemisphere will be the capacity of the cone section. Find the height of the cone using the capacity that you calculated in part ((1). Round your answer to one decimal place. Hint: V = gnrzh CDI'lC Length of the string needed Radius = 20 cm 1 Height of the cone (6) 325 cm 200 cm Ground f. Find the total length of the string needed to hang the pinata given the information above. Remember that the string must start at the tree branch, go down to the pinata and reach back to the branch. I-Iint: Take the height of the branch and subtract the values you know. Remember to double the length of the string needed and add an extra 15 cm to account for tying the knotStep by Step Solution
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