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Composite volcanoes are known for their beautiful, distinctive cone shape. A composite volcano called Mayon in the Philippines has a diameter of 20 km and a height of 2.46 km. Calculate the lateral area of the volcano. (JUSTIFY)

Respuesta :

Answer:

The lateral area of volcano is 323.361 km square

Explanation:

Given the diameter of the volcano (cone) = 20 km

Then, radius (r) = 20/2 = 10km

Height of the volcano (h) = 2.46 km

Given, the volcano has a distinctive cone shape

Then, lateral area of cone is given by the formula,  [tex]\mathrm{A}_{\mathrm{L}}=\pi^{*} \mathrm{r} \sqrt{h^{2}+r^{2}}[/tex]

Substituting the values,

[tex]A_{L}=3.14^{*} 10 \sqrt{2.46^{2}+10^{2}}[/tex]

[tex]A_{L}=31.4 \sqrt{106.0516}[/tex]

[tex]\mathrm{A}_{\mathrm{L}}=31.4\times 10.298[/tex]

[tex]\mathrm{A}_{\mathrm{L}}[/tex] = 323.361 km square

Therefore, the lateral area of cone is 323.361 km square

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