You are designing a new container for powdered laundry detergent. you are considering a cylindrical container with a diameter of 12 inches and a height of 19 inches. find the volume of this container to the nearest cubic unit.

a) 942 in. cubed
b) 684 in. cubed
c) 8,595 in. cubed
d) 2,149 in. cubed

2,149 in³

Step-by-step explanation:

The volume of a cylinder with radius r and height h is

V = πr²h.

Here, d = 12 in, so r = (12/2) in, or 6 in.

Then the volume of this cyl. is:

V = π(6 in)²(19 in) = 2148.85 in³.  This is best rounded up to 2,149 in³

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