Question

units³
1/3
volume of a cone = $\pi r^2 \frac{h}{3}$
2/3
= $\pi \cdot 6^2 \cdot \frac{4}{3}$
= $\pi \cdot 36 \cdot \frac{4}{3}$
= $\frac{144}{3}\pi$
= $48\pi$
4 of 4

Explanation:

Step1: Identify cone parameters

Radius \( r = 6 \), height \( h = 4 \)

Step2: Apply cone volume formula

Volume \( V = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi \cdot 6^2 \cdot 4 \)

Step3: Calculate the result

\( V = \frac{1}{3}\pi \cdot 36 \cdot 4 = 48\pi \)

Answer:

48π