Question

find the volume of the right cone below in terms of π.
(there is an image of a right cone with height 20 and radius 6)
answer attempt 1 out of 5
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π

Explanation:

Step1: Recall the volume formula for a cone

The volume \( V \) of a right cone is given by the formula \( V=\frac{1}{3}\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cone.

Step2: Identify the values of \( r \) and \( h \)

From the diagram, the radius \( r = 6 \) and the height \( h=20 \).

Step3: Substitute the values into the formula

Substitute \( r = 6 \) and \( h = 20 \) into the formula \( V=\frac{1}{3}\pi r^{2}h \):
\[

$$\begin{align*} V&=\frac{1}{3}\pi\times(6)^{2}\times20\\ &=\frac{1}{3}\pi\times36\times20\\ & = 12\times20\pi\\ &=240\pi \end{align*}$$

\]

Answer:

\( 240\pi \)