Question

Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches

Answer 1

`V=477.5in^3`

Explanation:

The volume of a cylinder can be calculated using the formula;

`V=\pi r^2h`

where the radius is half of the diameter of the circle.

`r=(8)/(2) =4in.`

The height of the cylinder is

`h=9(1)/(2)=(19)/(2)in.`

We substitute the values into the formula to obtain;

`V=\pi* 4^2* (19)/(2)`

`V=477.5in^3`

correct to the nearest tenth

Answer 2

`V=152\pi in^(2)` in terms or pi

`V=477.52in^(2)` simplified

Explanation:

To solve this, we are using the Cylinder's volume formula:

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

where

`V` is the volume of the cylinder

`r` is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius:
`r=(d)/(2) =(8in)/(2) =4in`. Now, 9 1/2 inches is 9 and a half inches, so
`h=9.5in`.

Replacing values:

`V=\pi (4in)^(2) (9.5in)`

`V=\pi (16in^(2))(9.5in)`

`V=152\pi in^(2)`

`V=477.52in^(2)`

We can conclude that the volume of our cylinder is
`V=152\pi in^(2)` in terms of pi, or
`V=477.52in^(2)` simplified.