To correctly determine the volume of a figure in terms of \(\pi\) based on the provided dimensions 1.44 by 4.14, we need to know the shape of figure 2. Since this information is not given in your question, I will assume it is a cylinder, as cylinders are commonly discussed in geometry with respect to \(\pi\).
The volume \(V\) of a cylinder is given by the formula:
\[ V = \pi r^2 h, \]
where \(r\) is the radius and \(h\) is the height.
Given dimensions could refer to the diameter and height, or radius and height. Let's explore both, assuming it's a cylinder:
1. **Assuming 1.44 is the Diameter, and 4.14 is the Height:**
- Radius \(r = \frac{\text{Diameter}}{2} = \frac{1.44}{2} = 0.72\)
- Height \(h = 4.14\)
Plug these values into the volume formula:
\[
V = \pi (0.72)^2 (4.14)
\]
Calculate \( (0.72)^2 \):
\[
(0.72)^2 = 0.5184
\]
Now calculate the volume:
\[
V = \pi \times 0.5184 \times 4.14
\]
\[
V \approx \pi \times 2.146176
\]
So, the volume \( V \approx 2.146176 \pi \).
2. **Assuming 1.44 is the Radius, and 4.14 is the Height:**
- Radius \(r = 1.44\)
- Height \(h = 4.14\)
Then the volume is:
\[
V = \pi (1.44)^2 (4.14)
\]
Calculate \( (1.44)^2 \):
\[
(1.44)^2 = 2.0736
\]
Now calculate the volume:
\[
V = \pi \times 2.0736 \times 4.14
\]
\[
V \approx \pi \times 8.58
\]
Therefore, the volume \( V \approx 8.58 \pi \).
The correct answer based on these calculations would be **8.58\(\pi\) units cubed** if the dimensions pertain to the radius and height of a cylinder.
6. What is the volume of figure 2 in terms of pi 1.44 by 4.14?
*
Captionless Image
26.97pi units cubed
38.02pi units cubed
8.58pi units cubed
154.9pi units cubed
1 answer