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:
`77.283km^(2)`

Explanation:

The formula for the lateral area of a cone
`L.A` is:

`L.A=\pi r h`

Where:

`r=10km` is the radius of the circular base of the cone

As we know its diameter
`d=20km`, its radius is
`r=(d)/(2)=10km`

`h=2.46km` is the height of the cone

`L.A=\pi (10km)(2.46km)`

`L.A=77.283km^(2)` This is the lateral area of the volcano with the shape of a cone