Question

1. find the volume of the right cone below. round your answer to the nearest tenth of an inch. volume= cubic inches

Explanation:

Step1: Recall volume formula for cone

The volume formula for a 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 values of $r$ and $h$

From the diagram, $r = 9$ inches and $h=12$ inches.

Step3: Substitute values into formula

$V=\frac{1}{3}\pi\times(9)^{2}\times12$. First, calculate $(9)^{2}=81$. Then $V=\frac{1}{3}\pi\times81\times 12$. Since $\frac{1}{3}\times81 = 27$, we have $V = 27\times12\pi$. And $27\times12 = 324$, so $V=324\pi$.

Step4: Calculate the numerical value

Using $\pi\approx3.14$, we get $V\approx324\times3.14 = 1017.36$.

Step5: Round to nearest tenth

Rounding $1017.36$ to the nearest tenth gives $V\approx1017.4$.

Answer:

$1017.4$