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
