Question

Fruit cocktail comes in large and small cylindrical cans. The larger can has a radius and height that are both twice as long as that of the radius and height of the smaller can. If the volume of the smaller can is 28.64 in3, what is the volume of the larger can?A. 229.12 in3B. 171.84 in3C. 57.28 in3D. 114.56 in3

Answer 1

A. 229.12

Explanation:

Answer 2

Option A.

The volume of the larger can is
`229.12\ in^(3)`

Explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x-----> the volume of the larger can

y-----> the volume of the smaller can

so

`z^(3)=(x)/(y)`

In this problem we have

`z=2`

`y=28.64\ in^(3)`

substitute and solve for x

`2^(3)=(x)/(28.64)`

`x=2^(3)*28.64=229.12\ in^(3)`