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

Explanation:

Step1: Find the radius

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

Step2: Use the volume formula for a cone

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.

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Answer:

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