Question

Find the volume in cubic inches With A diameter of 16 inches in a height of seven inches u 3.14 for pi round your answer to the nearest 100

Answer 1

To find the volume of a cylinder, you can use the formula:

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

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

Given the following:
- Diameter = 16 inches, therefore the radius \( r = \frac{16}{2} = 8 \) inches.
- Height \( h = 7 \) inches.
- \( \pi \approx 3.14 \).

Now, plug the values into the formula:

\[
V = 3.14 \times (8)^2 \times 7
\]

Calculating \( (8)^2 \):

\[
(8)^2 = 64
\]

Now substitute back into the volume equation:

\[
V = 3.14 \times 64 \times 7
\]

Calculate \( 64 \times 7 \):

\[
64 \times 7 = 448
\]

Now, substitute that back into the equation:

\[
V = 3.14 \times 448
\]

Now multiply:

\[
V = 1407.52
\]

Rounding \( 1407.52 \) to the nearest 100 gives:

\[
\text{Volume} \approx 1400 \text{ cubic inches}
\]

So, the volume is approximately **1400 cubic inches**.