To find the volume \( V \) of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 4.1 \) cm,
- \( h = 6.5 \) cm.
Now substitute these values into the volume formula:
\[ V = 3.14 \times (4.1)^2 \times 6.5 \]
First, calculate \( (4.1)^2 \):
\[ (4.1)^2 = 16.81 \]
Now, substitute that back into the formula:
\[ V = 3.14 \times 16.81 \times 6.5 \]
Next, calculate \( 3.14 \times 16.81 \):
\[ 3.14 \times 16.81 \approx 52.7494 \]
Now multiply \( 52.7494 \times 6.5 \):
\[ 52.7494 \times 6.5 \approx 343.8681 \]
Rounding this to the nearest tenth gives:
\[ 343.9 , \text{cm}^3 \]
However, looking at the options provided:
A. 343.1 cm³
B. 189.2 cm³
C. 136.5 cm³
D. 273 cm³
The option that is closest to our calculated value (343.9 cm³) would be:
A. 343.1 cm³
Thus, the volume of the cylinder is approximately 343.1 cm³.