Question

the formula for finding the volume of a cone is $v = \frac{1}{3}bh$, where $v$ is the volume, $b$ is the area of the base, and $h$ is the height. a cone has a base with an area of 56 square centimeters and a height of 12 centimeters. what is the volume of the cone?\
\bigcirc $224\\,\mathrm{cm}^3$\
\bigcirc $248\\,\mathrm{cm}^3$\
\bigcirc $128\\,\mathrm{cm}^3$\
\bigcirc $156\\,\mathrm{cm}^3$

Explanation:

Step1: Identify given values

$B=56\ \text{cm}^2$, $h=12\ \text{cm}$

Step2: Substitute into volume formula

$V=\frac{1}{3}Bh=\frac{1}{3}\times56\times12$

Step3: Calculate the volume

$V=\frac{1}{3}\times672=224\ \text{cm}^3$

Answer:

A. $224\ \text{cm}^3$