Question

a jar of peanut butter is in the shape of a cylinder the jar has an inside radius of 4 centimeters it is filled with peanut butter to an inside height of 12 centimeters
what is the total number of cubic centimeters of peanut butter in the jar
(use 3.14 for )

Answer 1

To find the total volume of peanut butter in the cylindrical jar, we can use the formula for the volume of a cylinder:

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

where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.

In this case:
- The radius \( r \) is 4 centimeters,
- The height \( h \) is 12 centimeters.

Now, we can plug in the values:

\[
V = 3.14 \times (4^2) \times 12
\]

Calculating \( 4^2 \):

\[
4^2 = 16
\]

Now substitute that back into the volume equation:

\[
V = 3.14 \times 16 \times 12
\]

Now calculate \( 16 \times 12 \):

\[
16 \times 12 = 192
\]

Now we can calculate the final volume:

\[
V = 3.14 \times 192
\]

Calculating that gives:

\[
3.14 \times 192 = 602.88
\]

Thus, the total volume of peanut butter in the jar is approximately:

\[
\boxed{602.88} \text{ cubic centimeters.}
\]