Question

A popcorn container is the shape of an inverted cone. it is 9 inches tall, and the circular opening has a diameter of 4 inches. which equation can be used to find the volume of the container? v = one-third pi (2) squared (9) v = one-third pi (4) squared (9) v = one-third pi (4) (9) squared v = one-third pi (2) (9) squared

Answer 1

The expression that determines the volume of the container is $V = \frac 13 * \pi * 2^2 * 9$

How to determine the volume expression?

The given parameters are:

• Shape = Cone
• Height, h = 9 in
• Diameter, d = 4 in

The volume of the cone is calculated using:

$V = \frac 13 * \pi (d/2)^2h$

So, we have:

$V = \frac 13 * \pi (4/2)^2 * 9$

This gives

$V = \frac 13 * \pi * 2^2 * 9$

Hence, the expression that determines the volume of the container is $V = \frac 13 * \pi * 2^2 * 9$

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