Madelyn makes a strawberry smoothie in the blender before swim practice. The smoothie occupies just a little more than 38 cubic inches of space in the blender pitcher. When it is time to pour the smoothie into a cylindrical plastic cup, she has three sizes to choose from. Determine whether or not the each of the three cups is large enough to contain all of the strawberry smoothie. Use 3.14 for pi

Cup A with a height of 7 inches and a diameter of 3 inches is ___ to contain the entire strawberry smoothie.
A. large enough
B. too small

Cup B with a height of 5 inches and a radius of 1 inches is ___ to contain the entire strawberry smoothie.
A. large enough
B. too small

Cup C with a height of 6 inches and a diameter of 2.5 inches is ___ to contain the entire strawberry smoothie.
A. too small
B. large enough

Consider the cup a cylinder. The formula for the volume of a cylinder is: V= PI x r^2 x h

Cup A: 3.14 x 7 x 1.5^2 = 49.46

This is large enough

Cup B: 3.14 x 5 x 1^2 = 15.7

This is too small

Cup C: 3.14 x 6 x 1.25^2 = 29.44

This is too small.

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.