Question

a cylindrical container has a diameter of 4 cm and a height of 8 cm. what is the volume? a. 30π cm³ b. 31π cm³ c. 33π cm³ d. 32π cm³

Explanation:

Step1: Find the radius

The radius $r$ is half of the diameter. Given diameter $d = 4$ cm, so $r=\frac{d}{2}=\frac{4}{2}=2$ cm.

Step2: Use the volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$. Substitute $r = 2$ cm and $h = 8$ cm into the formula: $V=\pi\times(2)^{2}\times8=\pi\times4\times8 = 32\pi\ cm^{3}$.

Answer:

D. $32\pi\ cm^{3}$