To calculate the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.
From your information, the height \( h \) is 10, and it seems you mentioned the base as 3, which I will assume to be the diameter. To find the radius \( r \), you need to divide the diameter by 2:
\[ r = \frac{d}{2} = \frac{3}{2} = 1.5 \]
Now, plug the values into the volume formula:
\[ V = \pi (1.5)^2 (10) \]
Calculating \( (1.5)^2 \):
\[ (1.5)^2 = 2.25 \]
Now plug this back into the volume formula:
\[ V = \pi (2.25)(10) = 22.5\pi \]
Using \( \pi \approx 3.14 \) for the calculation:
\[ V \approx 22.5 \times 3.14 \approx 70.65 \]
So, the volume of the cylinder is approximately:
\[ 22.5\pi \text{ cubic units, or } 70.65 \text{ cubic units (using } \pi \approx 3.14\text{)}. \]
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