A cylinder and its dimensions are shown. One equation for calculating the volume of a cylinder is V = Bh , where B represents the area of the base of the cylinder. Which expression can be used to find the value of B, in square inches, for this cylinder?

(1 point)
Responses

π(10)2
pi times 10 squared

2π(7)
2 pi 7

π(7)2
pi times 7 squared

2π(10)

1 answer

To find the value of \( B \) (the area of the base) for a cylinder, we need to use the formula for the area of a circle, which is \( B = \pi r^2 \), where \( r \) is the radius of the base of the cylinder.

If the dimensions given indicate that the radius of the base is 7 inches, then the area \( B \) would be calculated as:

\[ B = \pi (7)^2 \]

Therefore, the correct expression to find the value of \( B \) is:

\(\pi(7)^2\) (pi times 7 squared).

So, the response would be:

π(7)².