Question

What is the approximate volume of a soup can that is 6 inches tall and has a 2.25 inch diameter? Use π = 3.14

Answer 1

The volume of the soup can is 23.8 inches cube.

Explanation:

Given : A soup can that is 6 inches tall and has a 2.25 inch diameter.

To find : What is the approximate volume of a soup can ?

Solution :

A soup can is in the shape of cylinder.

So, Volume of the cylinder is
`V=\pi r^2 h`

Height of the can is h=6 inches.

Diameter of the can is d=2.25 inches

Radius of the can is
`r=(2.25)/(2)` inches.

Substitute the value in the formula,

`V=3.14* ((2.25)/(2))^2* 6`

`V=3.14* (2.25)/(2)*(2.25)/(2) * 6`

`V=23.844375\ in^3`

`V\approx 23.8\ in^3`

Therefore, The volume of the soup can is 23.8 inches cube.

Answer 2

The approximate volume of a soup can is
`23.84\ in^(3)`

Explanation:

we know that

The volume of a cylinder (soup can) is equal to

`V=\pi r^(2) h`

we have

`h=6\ in`

`r=2.25/2=1.125\ in` -----> the radius is half the diameter

`\pi =3.14`

substitute

`V=(3.14)(1.125)^(2) (6)`

`V=23.84\ in^(3)`