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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 3.14 to approximate the value of PI. Round your ans class=

Verified Answer :

Hippalectryon

Use the given formula :

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

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

Hence \(V\approx\frac{3.14}3*15^2*8=\boxed{1884.0\text{ in}^3}\)

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