To find the area of the base \( B \) of a cylinder, you can use the formula for the area of a circle, which is:
\[ B = \pi r^2 \]
In this case, the radius \( r \) of the base is half of the diameter. If the diameter is given as 10 cm, then the radius \( r \) would be:
\[ r = \frac{10}{2} = 5 \text{ cm} \]
Now, substituting this into the formula for the area of the base:
\[ B = \pi (5)^2 = \pi (25) = 25\pi \text{ square centimeters} \]
Therefore, the correct expression to find \( B \), in square inches (given the dimensions you mentioned are in centimeters but keeping in mind the cylindrical calculation), would be:
- If you need the area of a base in square inches, you should convert 25 cm² into inches, knowing that \( 1 \text{ inch} = 2.54 \text{ cm} \), so:
\[ 1 \text{ cm}^2 \approx \left(\frac{1}{2.54}\right)^2 \text{ in}^2 \approx 0.155 \text{ in}^2 \]
But, based purely on the options correctly simplified and calculated:
To express \( B \) directly relating to the dimensions you provided, it would remain 25π, pertaining to an equivalent approach with your given values (potentially referring to the outlined response options like \( 2\pi(10) \) for diameter representation or others). However, clarify if diameters impact specific anchors based on your choices.
So, the correct expression for \( B \):
- \( 25\pi \) (area of the cylinder's base).
If referring to direct options, \( 2\pi(5)^2 \) matches and converts back to \( 25\pi \) when extracting, but ensure clarity based on your precise choice list available.