Answer:
Pedro can fill 253.2527 cups from that bowl.
Step-by-step explanation:
In order to calculate how many cups pedro can fill we first need to calculate the volume of punch he had in the bowl. Since the bowl is half a sphere then we need to use the following formula:
volume of bowl = (volume of sphere)/2
volume of bowl = [(4/3)*pi*r³]/2
volume of bowl = [(4/3)*pi*(9)³]/2 = 1526.81 inches³
Now we need to calculate the volume of each cup, since it's a cone we have:
volume of cup = [pi*(r²)*h]/3 = [3.14*(1.2)²*4]/3 = 6.0288 inches³
The number of cups is given by:
cups = volume of bowl / volume of cup = 1526.81/6.0288 = 253.2527 cups
