Question

find the volume of an oblique cylinder with a base radius of 8 mm and a height of 48 mm. use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall volume formula for cylinder

The volume $V$ of a cylinder (including oblique cylinders) is $V = \pi r^2 h$, where $r$ is the base radius and $h$ is the height.

Step2: Substitute given values

Substitute $r=8$ mm, $h=48$ mm, and $\pi=3.14$:
$V = 3.14 \times 8^2 \times 48$

Step3: Calculate $8^2$ first

$8^2 = 64$, so:
$V = 3.14 \times 64 \times 48$

Step4: Compute $3.14 \times 64$

$3.14 \times 64 = 200.96$

Step5: Multiply by 48

$200.96 \times 48 = 9646.08$

Step6: Round to nearest whole number

$9646.08 \approx 9646$

Answer:

9646 cubic millimeters (or $9646$ mm³)