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.

Question

2 years ago

9

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

Mathematics

1 answer:

Tamiku [17] · Answer 1 · 2023-03-24T06:20:30+03:00

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

<h3>How to determine the volume expression?</h3>

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