Question

1. a cylindrical glass has a diameter of 8 cm and a height of 12 cm. what is its volume?

a. 96π cm³
b. 256π cm³
c. 192π cm³
d. 384π cm³

Explanation:

Step1: Find the radius

The radius $r$ of a circle is half of the diameter. Given diameter $d = 8$ cm, so $r=\frac{d}{2}=\frac{8}{2}=4$ cm.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is $V=\pi r^{2}h$. Substitute $r = 4$ cm and $h=12$ cm into the formula. So $V=\pi\times4^{2}\times12=\pi\times16\times12 = 192\pi$ $cm^{3}$.

Answer:

C. $192\pi$ $cm^{3}$