Question

calculating volume (mixed)
score: 0/3 penalty: none
question
find the volume of a right circular cone that has a height of 16.8 in and a base with a radius of 4.7 in. round your answer to the nearest tenth of a cubic inch.
answer attempt 1 out of 2

Explanation:

Step1: Recall volume formula

The volume formula for 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.

Step2: Substitute given values

Given $r = 4.7$ in and $h=16.8$ in. Substitute into the formula: $V=\frac{1}{3}\times\pi\times(4.7)^{2}\times16.8$.
First, calculate $(4.7)^{2}=22.09$. Then, $\frac{1}{3}\times22.09\times16.8=\frac{1}{3}\times371.112 = 123.704$.
Multiply by $\pi$: $V = 123.704\pi$.

Step3: Calculate and round

$V\approx123.704\times3.14159\approx388.6$.

Answer:

$388.6$ in³