Question

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

Answer 1

Answer:

$V=477.5in^3$

Step-by-step 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.

$r=\frac{8}{2} =4in.$

The height of the cylinder is

$h=9\frac{1}{2}=\frac{19}{2}in.$

We substitute the values into the formula to obtain;

$V=\pi\times 4^2\times \frac{19}{2}$

$V=477.5in^3$

correct to the nearest tenth

Answer 2

Answer:

$V=152\pi in^{2}$ in terms or pi

$V=477.52in^{2}$ simplified

Step-by-step 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: $r=\frac{d}{2} =\frac{8in}{2} =4in$. 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.