Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.
a (2.5) (9) in.^3
b π(9)^2 (2.5) in.^3
c π(2.5)^2 (9) in.^3
d π (2.5) (9) in.^3
To find the volume of a cylinder, you need to use the formula V = πr^2h, where V represents the volume, π represents a mathematical constant approximately equal to 3.14, r represents the radius of the base of the cylinder, and h represents the height of the cylinder.
In this case, the base radius of the cylinder is given as 2.5 in., and the height is given as 9 in.
To find the volume, you can substitute the given values into the formula:
V = π(2.5)^2(9) in.^3
Simplifying this equation:
V = π(6.25)(9) in.^3
V = 56.25π in.^3
Therefore, the correct option is:
c) π(2.5)^2(9) in.^3