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

Step2: Use the cone - volume formula

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

$$
LATEXBLOCK0
$$

Answer:

A. \(64\pi\mathrm{cm}^{3}\)