Question

15 find the volume $v = \pi r^{2}h$: a $8000\\ cm^{3}$ b $6283\\ cm^{3}$ c $25,132\\ cm^{3}$ d $400\\ cm^{3}$

Explanation:

Step1: Determine the radius

The diameter is 20 cm, so the radius $r=\frac{20}{2}=10$ cm.

Step2: Identify the height

The height $h = 20$ cm.

Step3: Calculate the volume

Substitute $r = 10$ cm and $h=20$ cm into the volume formula $V=\pi r^{2}h$. So $V=\pi\times(10)^{2}\times20=\pi\times100\times20 = 2000\pi\approx2000\times 3.14159 = 6283.18$ $cm^{3}\approx6283$ $cm^{3}$.

Answer:

B. $6283$ $cm^{3}$