00:01
Hi, so a gallon contains 231 cubic inches.
00:04
A cylindrical barrel full of juice concentrate has a diameter.
00:08
So diameter of a foot and is four feet high.
00:13
How many gallons of concentrate are in the barrel? okay, notice that the measurement of gallons is in cubic inches, and that means we need to change these feet to inches.
00:24
Okay, so that means within the formulas for volume of a cylinder, i need this to be 12 because that's 12 inches and 12 times 4 is 48.
00:38
Also down here, before we saw that one, we're going to change, like really before you start moving things of using like area and volume formulas, you got to make sure everything's on like the same unit rate, i guess, or unit.
00:54
So this has carpet cost 18s per square yards, so one square yards, but these are in feet.
01:01
So i'm going to do this correctly, i have to divide both of these by three.
01:06
Okay.
01:07
All right.
01:10
Hi.
01:11
So now, so volume of a cylinder is pi or a square to age.
01:16
So pi times a radius square times the height.
01:18
It gets this a diameter of 12.
01:20
That means the radius is six.
01:22
And now, pi six squared 48.
01:28
And you get about 5 ,200, i mean, 5 ,428 .6 .7.
01:34
And no basic, so that's a volume, right? so that's volume and to figure out basically how many gallons it would take to, on the barrel, you divide it by this, this thing, 231, and we end up about 23 .5, about 23 .5 gallons of concentrate...