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A cone has a diameter of 30 in. and a slant height of 17 in.

What is the approximate volume of the cone? Use 3.14 to approximate the value of PI.
Round your answer to the nearest tenth, if necessary.

A cone has a diameter of 30 in and a slant height of 17 in What is the approximate volume of the cone Use 314 to approximate the value of PI Round your answer t class=


Answer :

Hippalectryon
Use the given formula :

[tex]V=\frac{1}3\pi r^2h=\frac{1}3\pi (\frac{D}2)^2h[/tex] where [tex]D[/tex] is the diameter.

By Pythagoras, [tex]h=\sqrt{17^2-(30/2)^2}=8\text{ in}[/tex]

Hence [tex]V\approx\frac{3.14}3*15^2*8=\boxed{1884.0\text{ in}^3}[/tex]

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