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: $77.283km^{2}$

Step-by-step 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 $r=\frac{d}{2}=10km$

$h=2.46km$ 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