Question

For her geography project, Luthnie built a clay

model of a volcano in the shape of a cone. Her model has a diameter of 12 inches and a
volume of 301.4 inches. Find the height of clay in her model to the nearest tenth.

Answer 1

2.0 inches

Explanation:

Volume of a cone is given by

`V=\frac {\pi r^(2)h}{3}`

Making h the subject of the formula, the formula then

`h=\frac{3V} {\pi r^(2)}`

Substituating 301.4 in³ for V and 12 in for r then

`h=\frac{3*301.4} {\pi 12^(2)}=1.9987208269957in\\h\approx 2 in`

Therefore, h is 2.0 inches