Spaghetti sauce comes in large and small cylindrical cans. the larger can has a radius and height that are both three times longer than the radius and height of the smaller can. if the volume of the smaller can is 35.28 in3, what is the volume of the larger can?
a. 211.68 in3
b. 317.52 in3
c. 105.84 in3
d. 952.56 in3

Let S and L be the volumes of the smaller and larger cans respectively...

The volume of a cylinder is:  V=hπr^2 so

S=hπr^2  and we are told that the larger can's dimensions are 3h and 3r respectively so:

L=(3h)π(3r)^2

L=3hπ(9r^2)

L=27hπr^2

Then S/L is:

S/L=(hπr^2)/(27hπr^2)

S/L=1/27 so we can say that:

L=27S, we are told that the volume of the smaller can is 35.28 in^3 so

L=27(35.28) in^3

L=952.56 in^3

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.