Question

A cylinder has a diameter of 10 inches and a height of 2.3 inches. What is the volume of this cylinder, to the nearest tenth of a cubic inch?

Answer 1

The volume of this cylinder is `57.5pi` or `180.6` cubic inches.

(Nearest tenth is the same as 1 decimal place)

Explanation:

The volume of a cylinder formula is:

`V=pir^2h`

The diameter is `10` inches, well half of the diameter is `5` inches which is the radius. Radius is half of the diameter.

If you want the diameter back, just double it. `5 + 5 = 10.`

So we can now plug the numbers into the formula.

`V=pi(5^2)(2.3)`
`V=pi(25)(2.3)" "` (5 Squared =25)
`V= 57.5pi`

But if you didn't want it in terms of `pi`, so you multiply:

`57.5xx 3.14` which you get `=180.55`

but rounding that to the nearest tenth is the same as rounding to `1` decimal place so you get

`180.6` cubic inches.