Acylindrical thermos has a radius of2 in. and is 5 in. high. it holds 10 f oz. to the nearest ounce, how many ounces will a similar thermos with a radius of 3 in. hold? show your work

Let
A> larger thermos with radius 3 in
B> smaller thermos with radius 2 in

we know that
scale factor=radius larger thermos/radius smaller thermos
scale factor=3/2> 1.5

volume larger thermos=[scale factor]³*volume smaller thermos
volume larger thermos=[1.5]³*10 f oz> 3.375*10> 33.75 f oz> 34 f oz

the answer is
 34 f oz