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Sketch a cone with diameter of 16 feet and height of 10 feet, then find the volume. If needed, round to the nearest hundredth.

Sagot :

The volume is 2679.46ft^3.

What is  volume?

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

We know that

The volume of the cone is equal to

[tex]V=\frac{1}{3} \pi r^2 h[/tex]

where

r is the radius of the circular base of the cone [tex]$\mathrm{h}$[/tex] is the height of the cone

we have

[tex]$\begin{aligned}& r=16 f t \\& h=10 f \mathrm{t}\end{aligned}$[/tex]

assume

[tex]\pi=3.14[/tex]

substitute the values

[tex]$\begin{aligned}& V=\frac{1}{3}(3.14)(16)^2(10) \\& V=2679.46 f t^3\end{aligned}$[/tex]

The drawing in the attached figure

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