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?
Responses
A π(8.3)2
π ( 8.3 ) 2
B 2π(8.3)2π(8.3)
C π(11.1)2
π ( 11.1 ) 2
D 2π(11.1)
The correct answer is C. π(11.1)2
The base of a cylinder is in the shape of a circle, so to find its area, we use the formula for the area of a circle: A = πr^2, where r represents the radius of the base.
In this case, the given options for the expressions representing the value of B are:
A. π(8.3)2
B. 2π(8.3)2
C. π(11.1)2
D. 2π(11.1)
Since the diameter of the cylinder is 11.1 inches, the radius is half the diameter, or 11.1/2 = 5.55 inches.
To find the area of the base, we substitute the value of the radius into the area formula: A = π(5.55)2. Simplifying this expression gives us π(11.1)2, which matches option C.