Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in

Question

1. π(9)2(2.5)in.3
2. π(2.5)(9)in.3
3. π(2.5)2(9)in.3
4. (2.5)(9)in.3

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

\[ V = \pi r^2 h \]

where \( r \) is the radius of the base, and \( h \) is the height of the cylinder.

Given that the base radius \( r = 2.5 \) inches and the height \( h = 9 \) inches, we apply these values:

1. Calculate \( r^2 \): \[ r^2 = (2.5)^2 = 6.25 \]

2. Now, substitute \( r^2 \) and \( h \) into the volume formula: \[ V = \pi (2.5^2)(9) = \pi (6.25)(9) = 56.25\pi , \text{in}^3 \]

From the options given, the correct expression for the volume of the cylinder is:

3. \(\pi(2.5^2)(9)in^3\).