Answer :
To find the volume of a right circular cylinder, we use the formula:
[tex]V = \pi r^2 h[/tex]
Where:
- [tex]V[/tex] is the volume of the cylinder.
- [tex]r[/tex] is the radius of the base of the cylinder.
- [tex]h[/tex] is the height of the cylinder.
- [tex]\pi[/tex] is approximately 3.14159.
Given in the problem:
- The radius [tex]r = 2.3[/tex] inches.
- The height [tex]h = 6.2[/tex] inches.
Let's plug these values into the formula:
[tex]V = \pi (2.3)^2 (6.2)[/tex]
First, we calculate [tex](2.3)^2[/tex]:
[tex](2.3)^2 = 2.3 \times 2.3 = 5.29[/tex]
Now, we substitute this result back into the volume formula:
[tex]V = \pi \times 5.29 \times 6.2[/tex]
Next, let's calculate [tex]5.29 \times 6.2[/tex]:
[tex]5.29 \times 6.2 = 32.798[/tex]
Then, multiply this result by [tex]\pi[/tex]:
[tex]V = 3.14159 \times 32.798 \approx 103.020[/tex]
Rounding 103.020 to the nearest whole number gives us 103.
Therefore, the volume of the cylinder is approximately [tex]103 \text{ cubic inches}[/tex].
The correct answer is 103 in³.
