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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.

Respuesta :

opudodennis

Answer:

2.0 inches

Step-by-step explanation:

Volume of a cone is given by

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

Making h the subject of the formula, the formula then

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

Substituating 301.4 in³ for V and 12 in for r then

[tex]h=\frac{3*301.4} {\pi 12^{2}}=1.9987208269957in\\h\approx 2 in[/tex]

Therefore, h is 2.0 inches

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