find the volume of the right cone below. round your answer to the nearest tenth if necessary. answer attempt…
find the volume of the right cone below. round your answer to the nearest tenth if necessary. answer attempt 1 out of 2 units³ submit answer
Answer
Explanation:
Step1: Find the radius
The diameter is 18, so the radius $r=\frac{18}{2}=9$.
Step2: Recall the volume - formula for a cone
The volume formula of a cone is $V = \frac{1}{3}\pi r^{2}h$, where $h$ is the height and $r$ is the radius. Here, $h = 20$ and $r = 9$.
Step3: Substitute the values into the formula
$V=\frac{1}{3}\pi\times9^{2}\times20=\frac{1}{3}\pi\times81\times20$. First, $\frac{1}{3}\times81 = 27$, then $27\times20\pi=540\pi$.
Step4: Calculate the numerical value
Using $\pi\approx3.14$, we have $V\approx540\times3.14 = 1695.6$.
Answer:
$1695.6$