Question

task 3: hanging the piñata. you have an ice cream cone shaped piñata for a game during the party. over your patio, you have found a branch from which to hang the piñata; it is 325 cm in the air. now, you are trying to determine the length of string to hang the piñata so that its bottom is 200 cm in the air—just above the heads of the partiers! you do not know the total height of the piñata, but you know how much candy is in the piñata as well as the radius of the piñata. you have put 10 bags of mixed candies with a volume of 2000 cm³ each into the piñata, which filled it to 60% capacity. a. determine the volume of candy in the piñata. remember that you have 10 bags of candy mix with 2000 cm³ of candy in each bag. b. using the volume that you calculated in (a), find the capacity of the piñata. round your answer to the nearest whole number. hint: percent capacity = volume / capacity x 100%

Explanation:

Step1: Calculate volume of candy

Multiply number of bags by volume per bag.
$10\times2000 = 20000$ $cm^{3}$

Step2: Find piñata capacity

Let capacity be $V$. Given $60\%=\frac{20000}{V}\times100\%$.
Solve for $V$: $V=\frac{20000}{0.6}\approx33333$ $cm^{3}$

Answer:

a. $20000$ $cm^{3}$
b. $33333$ $cm^{3}$