Acylinder 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

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