Question

What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.

500.21 cubic inches
508.68 cubic inches
550.45 cubic inches
561.75 cubic inches

Answer 1

508.68 cubic inches

Explanation:

The volume of a cylinder is defined as

`V=A* h`

Where
`A` is the area of the base and
`h` is the height.

In this case, we have a circular cylinder, which means the area of its bottom is circular with a radius of 9 inches. And its height is 2 inches, by given, that is

`r=9in`,
`h=2in`. Also we know that
`\pi \approx 3.14`.

And the area of a circle is defined as

`A=\pi r^(2)`

Replacing the radius, we have

`A=3.14 (9in)^(2) =3.14(81)in^(2) =254.34 in^(2)`

Then, we use this area to find the volume

`V=A* h\\V=254.34in^(2)(2in)\\ V=508.68 in^(3)`

Therefore, the right answer is the second choice.

Answer 2

508.68 cubic inches

Explanation:

Formula for volume of a cylinder=
`\pi r^(2) h\\ \pi =3.14\\ r^(2) =9^(2) =81\\ h=2`

Therefore, Volume of cylinder = 3.14 * 81 * 2= 508.68 cubic inches