a cylinder has a diameter of 24 inches. if its height is half its radius, what is the volume of the cylinder on cubic inches?

approx. 905 in³

Step-by-step explanation:

The height is half its radius, and therefore the height is (1/2) (12 in), where 12 in represents half the diameter (24 in).

The formula for the volume of a cylinder of radius r and height h is

V = (1/3) (πr²) (h). Using the values r = 12 in, h = (1/2) (12 in), we get:

V = (1/3) π (12 in) ² (6 in), or

V = (1/3) (144 in²) (6 in), or

V = 288π in³, or approx. 905 in³

I got 864

Step-by-step explanation:

24 divided by 2 = the radius so the radius is 12.

The formula for volume is pi x r^2 h

12 x 12 = 144 x 6 = 864

On my program for the choices they have a pi symbol next to them so i do not multiply them by pi.