question
find the volume of a right circular cone that has a height of 3.5 ft and a base with a radius of 18.9 ft. round your answer to the nearest tenth of a cubic foot.
answer attempt 2 out of 2
1309
ft³
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# Explanation:
## Step1: Recall the formula for the volume of a right circular cone.
The formula for the volume $ V $ of a right circular cone is $ 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 given values.
We are given that the radius $ r = 18.9 $ ft and the height $ h = 3.5 $ ft.

## Step3: Substitute the given values into the formula.
Substitute $ r = 18.9 $ and $ h = 3.5 $ into the formula:
$$
\begin{align*}
V&=\frac{1}{3}\times\pi\times(18.9)^{2}\times3.5\
&=\frac{1}{3}\times\pi\times357.21\times3.5\
&=\frac{1}{3}\times\pi\times1250.235\
&=\pi\times416.745
\end{align*}
$$

## Step4: Calculate the numerical value.
Using $ \pi\approx3.14159 $, we have:
$$
V\approx3.14159\times416.745\approx1309.0
$$

# Answer:
$ 1309.0 $

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the volume of a right circular cone.

Step2: Identify the given values.

Step3: Substitute the given values into the formula.

Step4: Calculate the numerical value.

Answer: