Question

A jar of mayonnaise is shaped like a cylinder. The radius of the jar is 1.5 inches and its height is 7 inches. The mayonnaise sells for $0.08 per cubic inch.

What is the cost of the jar of mayonnaise?

Use 3.14 for pi.

Round only your final answer to the nearest penny.

Enter your answer in the box.

Answer 1

To find the cost of the jar of mayonnaise, we first need to determine the volume of the cylindrical jar using the formula for the volume of a cylinder:

\[
V = \pi r^2 h
\]

Where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder, and
- \( \pi \) is approximately 3.14.

Given:
- Radius, \( r = 1.5 \) inches,
- Height, \( h = 7 \) inches,
- \( \pi \approx 3.14 \).

Now, let's calculate the volume:

\[
V = 3.14 \times (1.5^2) \times 7
\]

First, calculate \( 1.5^2 \):

\[
1.5^2 = 2.25
\]

Now, substituting back into the volume formula:

\[
V = 3.14 \times 2.25 \times 7
\]

Calculating \( 2.25 \times 7 \):

\[
2.25 \times 7 = 15.75
\]

Now, calculate the volume:

\[
V = 3.14 \times 15.75
\]

Perform the multiplication:

\[
V = 49.545
\]

Now that we have the volume, we can determine the cost of the mayonnaise. The problem states that the cost is $0.08 per cubic inch. Therefore, we need to multiply the volume by the cost per cubic inch:

\[
\text{Cost} = 49.545 \times 0.08
\]

Now, calculate the cost:

\[
\text{Cost} = 3.9636
\]

Finally, rounding to the nearest penny, we get:

\[
\text{Cost} \approx 3.96
\]

Thus, the cost of the jar of mayonnaise is **$3.96**.