Question

a cylindrical glass has a diameter of 8 cm and a height of 12 cm. what is its volume?
a. 384π cm³
b. 256π cm³
c. 192π cm³
d. 96π cm³
what is the radius if the diameter of a cylinder is 10 cm?
a. 2.5 cm
b. 20 cm
c. 10 cm
d. 5 cm

Explanation:

Step1: Find radius for volume problem

Radius $r=\frac{d}{2}$, given $d = 8$ cm, so $r=\frac{8}{2}=4$ cm.

Step2: Use volume formula for cylinder

Volume of cylinder $V=\pi r^{2}h$, substituting $r = 4$ cm and $h=12$ cm, we get $V=\pi\times4^{2}\times12=\pi\times16\times12 = 192\pi$ $cm^{3}$.

Step3: Find radius for radius - diameter problem

Given $d = 10$ cm, using $r=\frac{d}{2}$, we have $r=\frac{10}{2}=5$ cm.

Answer:

1. C. $192\pi$ $cm^{3}$
2. D. 5 cm