Question

Part B
Fill in the blank question.
What is the volume of grain, in cubic meters, if the silo has a radius r of 1.5 meters and the height h of empty space is 2.7 meters? Use 3.14 for π
.

FL_M80103_001A-DIG.png



cubic meters

Answer 1

To calculate the volume of grain in the silo, we use the formula for the volume of a cylinder:

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

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

Given that:
- \( r = 1.5 \) meters,
- \( h = 2.7 \) meters.

Now plug the values into the formula:

\[
V = 3.14 \times (1.5)^2 \times 2.7
\]

First, calculate \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

Then substitute this back into the volume formula:

\[
V = 3.14 \times 2.25 \times 2.7
\]

Now calculate \( 3.14 \times 2.25 \):

\[
3.14 \times 2.25 = 7.065
\]

Next, multiply this result by 2.7:

\[
V = 7.065 \times 2.7 = 19.0595
\]

Therefore, the volume of grain in the silo is approximately:

\[
\boxed{19.06} \text{ cubic meters}
\]