Question
A farmer wants to know how much corn he is going to sell at the end of the season. He stores the corn in a silo, which is in the shape of a right circular cylinder. If the height is 40 feet, and the diameter is 15 feet, what is the volume? Use 3.14 for π .(1 point) feet3 Remaining Attempts : 3
Answers
GPT-4o mini
To calculate the volume of a right circular cylinder, you can use the following formula:
\[
V = \pi r^2 h
\]
Where:
- \(V\) is the volume,
- \(r\) is the radius of the base,
- \(h\) is the height of the cylinder,
- \(\pi\) is a constant approximately equal to 3.14.
Given:
- Height \(h = 40\) feet,
- Diameter \(d = 15\) feet, which means the radius \(r = \frac{d}{2} = \frac{15}{2} = 7.5\) feet.
Now, plug in the values into the formula:
\[
V = 3.14 \cdot (7.5)^2 \cdot 40
\]
First, calculate \( (7.5)^2 \):
\[
(7.5)^2 = 56.25
\]
Now, substitute back into the volume formula:
\[
V = 3.14 \cdot 56.25 \cdot 40
\]
Now, calculate:
\[
3.14 \cdot 56.25 = 176.625
\]
Now multiply by 40:
\[
V = 176.625 \cdot 40 = 7065
\]
Thus, the volume of the silo is:
\[
\text{Volume} = 7065 \text{ cubic feet}
\]
\[
V = \pi r^2 h
\]
Where:
- \(V\) is the volume,
- \(r\) is the radius of the base,
- \(h\) is the height of the cylinder,
- \(\pi\) is a constant approximately equal to 3.14.
Given:
- Height \(h = 40\) feet,
- Diameter \(d = 15\) feet, which means the radius \(r = \frac{d}{2} = \frac{15}{2} = 7.5\) feet.
Now, plug in the values into the formula:
\[
V = 3.14 \cdot (7.5)^2 \cdot 40
\]
First, calculate \( (7.5)^2 \):
\[
(7.5)^2 = 56.25
\]
Now, substitute back into the volume formula:
\[
V = 3.14 \cdot 56.25 \cdot 40
\]
Now, calculate:
\[
3.14 \cdot 56.25 = 176.625
\]
Now multiply by 40:
\[
V = 176.625 \cdot 40 = 7065
\]
Thus, the volume of the silo is:
\[
\text{Volume} = 7065 \text{ cubic feet}
\]