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Ksenya-84 [330]
3 years ago
9

Composite volcanoes are known for their beautiful, distinctive cone shape. A composite volcano called Mayon in the Philippines h

as a diameter of 20 km and a height of 2.46 km. Calculate the lateral area of the volcano. (JUSTIFY)
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

<u>Answer:</u>

The lateral area of volcano is 323.361 km square

<u>Explanation</u>:

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,  \mathrm{A}_{\mathrm{L}}=\pi^{*} \mathrm{r} \sqrt{h^{2}+r^{2}}

Substituting the values,

A_{L}=3.14^{*} 10 \sqrt{2.46^{2}+10^{2}}

A_{L}=31.4 \sqrt{106.0516}

\mathrm{A}_{\mathrm{L}}=31.4\times 10.298

\mathrm{A}_{\mathrm{L}} = 323.361 km square

Therefore, the lateral area of cone is 323.361 km square

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The average is found by adding the total miles and dividing by the total number of hours.

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3 years ago
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WARRIOR [948]

distance = rate * time.

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