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

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

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