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.