Respuesta :

Answer:

The approximate volume of a soup can is [tex]23.84\ in^{3}[/tex]

Step-by-step explanation:

we know that

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

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=6\ in[/tex]

[tex]r=2.25/2=1.125\ in[/tex] -----> the radius is half the diameter

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(1.125)^{2} (6)[/tex]

[tex]V=23.84\ in^{3}[/tex]

Answer:

The volume of the soup can is 23.8 inches cube.    

Step-by-step 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 [tex]V=\pi r^2 h[/tex]

Height of the can is h=6 inches.

Diameter of the can is d=2.25 inches

Radius of the can is [tex]r=\frac{2.25}{2}[/tex] inches.

Substitute the value in the formula,

[tex]V=3.14\times (\frac{2.25}{2})^2\times 6[/tex]

[tex]V=3.14\times \frac{2.25}{2}\times\frac{2.25}{2} \times 6[/tex]

[tex]V=23.844375\ in^3[/tex]

[tex]V\approx 23.8\ in^3[/tex]

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