Question

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1. the volume of this cylinder is 9,043.2 cubic millimeters. what is the radius?
2. round your answer to the nearest hundredth.

20 mm

1. $r =$ ____ millimeters

Explanation:

Step1: Recall cylinder volume formula

The volume $V$ of a cylinder is $V = \pi r^2 h$, where $r$ is radius, $h$ is height.

Step2: Plug in known values

Substitute $V=9043.2$, $h=20$, $\pi\approx3.14$:
$9043.2 = 3.14 \times r^2 \times 20$

Step3: Simplify right-hand side

Calculate $3.14 \times 20 = 62.8$:
$9043.2 = 62.8 r^2$

Step4: Solve for $r^2$

Divide both sides by 62.8:
$r^2 = \frac{9043.2}{62.8} = 144$

Step5: Solve for $r$

Take square root of both sides:
$r = \sqrt{144} = 12$
(No rounding needed as value is whole number)

Answer:

12 millimeters