Question
A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 8.5 meters, and the height of the silo is 14 meters.
Which equation can be used to find V, the volume of this silo in cubic meters?
Responses
A
V = 𝜋(4.25)²(14)
V = 𝜋(4.25)²(14)
B V = 𝜋(8.5)² (14)
V = 𝜋(8.5)² (14)
C V = 𝜋(4.25)²(7)V = 𝜋(4.25)²(7)
D V = (4.25)²(14)
Which equation can be used to find V, the volume of this silo in cubic meters?
Responses
A
V = 𝜋(4.25)²(14)
V = 𝜋(4.25)²(14)
B V = 𝜋(8.5)² (14)
V = 𝜋(8.5)² (14)
C V = 𝜋(4.25)²(7)V = 𝜋(4.25)²(7)
D V = (4.25)²(14)
Answers
Answered by
GPT-4o mini
To find the volume \( V \) of a cylinder (which is the shape of the silo), we use the formula:
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the cylinder, and \( h \) is the height.
Given that the diameter of the silo is 8.5 meters, we can find the radius:
\[
r = \frac{\text{diameter}}{2} = \frac{8.5}{2} = 4.25 \text{ meters}
\]
The height of the silo is given as 14 meters. Plugging in the values into the volume formula, we have:
\[
V = \pi (4.25)^2 (14)
\]
Therefore, the correct equation to find the volume of the silo is:
**A**
\[
V = \pi(4.25)^2(14)
\]
\[
V = \pi r^2 h
\]
where \( r \) is the radius of the cylinder, and \( h \) is the height.
Given that the diameter of the silo is 8.5 meters, we can find the radius:
\[
r = \frac{\text{diameter}}{2} = \frac{8.5}{2} = 4.25 \text{ meters}
\]
The height of the silo is given as 14 meters. Plugging in the values into the volume formula, we have:
\[
V = \pi (4.25)^2 (14)
\]
Therefore, the correct equation to find the volume of the silo is:
**A**
\[
V = \pi(4.25)^2(14)
\]