Question

Gerald has a punch bowl in the shape of a hemisphere as shown below.

One cup is equivalent to approximately 15 cubic inches. Which of the following is closest to the maximum number of cups the punch bowl can hold?

A. 60 cups
B. 45 cups
C. 30 cups
D. 18 cups

Answer 1

The closest to the maximum number of cups the punch bowl can hold is 30

How to determine the number of cups?

The given parameters are:

1 cup = 15 cubic inches

Diameter of bowl, d = 12 inches

The radius is the half of the diameter.

So, we have:

r = 6

The volume of the bowl is then calculated using:

$V = \frac{2}{3}\pi r^3$

This gives

$V = \frac{2}{3}\pi * 6^3$

Evaluate

V = 452.16

The maximum number of cups is then calculated using:

Cups = 452.16/15

Evaluate

Cups = 30.1444

Approximate

Cups = 30

Hence, the closest to the maximum number of cups the punch bowl can hold is 30

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