Question

At a party, Pedro filled a punch bowl to the top with fruit punch. The punch bowl is in the shape of a half a sphere. It has radius of 9 inches. Pedro served the punch in cone-shaped cups that each have a radius of 1.2 inches and height of 4 inches.

Answer 1

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