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

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.