Question

1. a cylindrical container has a diameter of 4 cm and a height of 8 cm. what is the volume?

a. 31π cm³
b. 33π cm³
c. 32π cm³
d. 30π cm³

Explanation:

Step1: Find the radius

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

Step2: Use the volume formula for a cylinder

The volume formula of 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:

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