Question

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)

Answer 1

The lateral area of volcano is 323.361 km square

Step-by-step 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,
`\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 √(106.0516)`

`\mathrm{A}_{\mathrm{L}}=31.4* 10.298`

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

Therefore, the lateral area of cone is 323.361 km square