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?

Question

(1 point)
Responses

π(10)2
pi times 10 squared

π(7)2
pi times 7 squared

2π(7)
2 pi 7

2π(10)
2 pi 10

Answer 1

To find the area of the base \( B \) of a cylinder, we use the formula for the area of a circle:

\[ B = \pi r^2 \]

where \( r \) is the radius of the base of the cylinder. If we assume the dimensions of the cylinder show that the radius is 10 inches, the expression for the area of the base would be:

\[ B = \pi(10)^2 \]

If the radius is shown to be 7 inches, the expression would be:

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

As such, the expression for \( B \) in square inches would depend on the specific radius provided in the dimensions of the cylinder. Based on your response options, please choose:

1. If the radius of the cylinder is 10 inches, then the correct expression is \( \pi(10)^2 \).
2. If the radius of the cylinder is 7 inches, then the correct expression is \( \pi(7)^2 \).

Please confirm the radius of the cylinder to choose the correct expression.