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
Answers
GPT-4o mini
To find the volume of a right circular cylinder, you can use the formula:
\[
V = \pi r^2 h
\]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is a constant (approximately 3.14).
Given:
- Height (\( h \)) = 40 feet
- Diameter = 15 feet, so the radius (\( r \)) = Diameter / 2 = 15 feet / 2 = 7.5 feet
Now, substitute the values into the formula:
\[
V = 3.14 \times (7.5)^2 \times 40
\]
First, calculate \( (7.5)^2 \):
\[
(7.5)^2 = 56.25
\]
Now, substitute this back into the volume formula:
\[
V = 3.14 \times 56.25 \times 40
\]
Now calculate \( 3.14 \times 56.25 \):
\[
3.14 \times 56.25 = 176.625
\]
Now multiply by the height:
\[
V = 176.625 \times 40 = 7065
\]
Therefore, the volume of the silo is
\[
\boxed{7065} \text{ feet}^3
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is a constant (approximately 3.14).
Given:
- Height (\( h \)) = 40 feet
- Diameter = 15 feet, so the radius (\( r \)) = Diameter / 2 = 15 feet / 2 = 7.5 feet
Now, substitute the values into the formula:
\[
V = 3.14 \times (7.5)^2 \times 40
\]
First, calculate \( (7.5)^2 \):
\[
(7.5)^2 = 56.25
\]
Now, substitute this back into the volume formula:
\[
V = 3.14 \times 56.25 \times 40
\]
Now calculate \( 3.14 \times 56.25 \):
\[
3.14 \times 56.25 = 176.625
\]
Now multiply by the height:
\[
V = 176.625 \times 40 = 7065
\]
Therefore, the volume of the silo is
\[
\boxed{7065} \text{ feet}^3
\]