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?

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Answer 1 · 2018-05-20T18:05:18

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

(Nearest tenth is the same as 1 decimal place)

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.