Question

A company uses paper cups shaped like cones for its water cooler. Each cup has a volume of 392.5. The cooler has 18,840cm of water in it. How many cups can be filled from the cooler?

Answer 1

The volume of a cone with radius r and height h is given by:

V = (1/3)πr^2h

If each cup has a volume of 392.5, then the volume of water in n cups is given by:

V = n(392.5)

We want to find how many cups can be filled from the cooler, so we need to solve for n. We know that the cooler has 18,840cm of water in it. Therefore, we can set up the equation:

V = (1/3)πr^2h

18840 = (1/3)π(3)^2h

Solving for h, we get:

h = (18840 * 3)/(9π)

h ≈ 670.82

Now we can solve for n:

n(392.5) = (1/3)π(3)^2(670.82)

n ≈ 57.86

Therefore, the company can fill about 57 cups from the cooler. Since we can't have a fraction of a cup, we would round down to 57 cups.

Answer 2

The water in the cooler can fill 48 cups.

Explanation:

In order to find how many cups can be filled by the cooler we need to calculate the volume of water each cup can hold up at a time. Since the cups are cone shaped their volume is given by:

Volume of cup = (1/3)*pi*(r^2)*h

Volume of cup = (1/3)*3.14*(5^2)*15 = 392.5 cm^3

Now we divide the amount of water in the cooller by the individual volume each cup can hold to determine the number of cups that can be filled up.

Number of cups = Total volume of water/ Volume of each cup

Number of cups = 18840/392.5 = 48 cups

hope this helped/helps :)