Question

1. a cone has a diameter of 8 cm and a height of 12 cm. what is its volume in terms of π?

a. 64π cm³
b. 48π cm³
c. 256π cm³
d. 96π cm³

Explanation:

Step1: Find the radius

The diameter \(d = 8\ \text{cm}\), so the radius \(r=\frac{d}{2}=\frac{8}{2}=4\ \text{cm}\).

Step2: Use the cone - volume formula

The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\). Substitute \(r = 4\ \text{cm}\) and \(h = 12\ \text{cm}\) into the formula:

$$
LATEXBLOCK0
$$

Answer:

B. \(48\pi\ \text{cm}^3\)